EduSahara™ Assignment
Name : Equation of a Straight Line
Chapter : Equation of a Straight Line
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
The slope of x-axis is
  • (i)
    -1
  • (ii)
    0
  • (iii)
    undefined
  • (iv)
    1
  • (v)
    90
Question 2
2.
The slope of y-axis is
  • (i)
    -1
  • (ii)
    90
  • (iii)
    1
  • (iv)
    0
  • (v)
    undefined
Question 3
3.
    • The slope of the line joining the points
    • (
      5
      ,
      (
      4
      )
      )
    • and
    • (
      (
      4
      )
      ,
      (
      5
      )
      )
    • is
  • (i)
    1

    3
  • (ii)
    1

    11
  • (iii)
    (
    -1

    9
    )
  • (iv)
    1

    9
  • (v)
    1

    7
Question 4
4.
    • The slope of the line perpendicular to the line passing through
    • the points
    • (
      (
      2
      )
      ,
      5
      )
    • and
    • (
      1
      ,
      3
      )
    • is
  • (i)
    2
  • (ii)
    5

    2
  • (iii)
    3

    2
  • (iv)
    1

    2
  • (v)
    5

    4
Question 5
5.
    • The slope of a line parallel to the line
    • (
      6
      x
      +
      y
      5
      )
      =
      0
    • is
  • (i)
    -5
  • (ii)
    -3
  • (iii)
    -7
  • (iv)
    -6
  • (v)
    -9
Question 6
6.
    • The slope of a line perpendicular to the line
    • (
      2
      x
      3
      y
      +
      8
      )
      =
      0
    • is
  • (i)
    2
  • (ii)
    3

    2
  • (iii)
    5

    2
  • (iv)
    1

    2
  • (v)
    5

    4
Question 7
7.
    • The equation of the line passing through
    • the origin and
    • having a slope
    • m
    • 0 is
  • (i)
    y
    =
    0
  • (ii)
    y
    =
    m
    x
    +
    c
  • (iii)
    y
    =
    m
    x
  • (iv)
    x
    =
    m
    y
    +
    c
  • (v)
    x
    =
    0
Question 8
8.
    • The equation of the line with slope
    • m
    • 0 and y-intercept
    • c
    • 0 is
  • (i)
    x
    =
    m
    y
    +
    c
  • (ii)
    y
    =
    0
  • (iii)
    y
    =
    m
    x
    +
    c
  • (iv)
    y
    =
    m
    x
  • (v)
    x
    =
    0
Question 9
9.
    • Find the x-intercept of the line
    • (
      5
      x
      10
      y
      +
      5
      )
      =
      0
  • (i)
    4
  • (ii)
    2
  • (iii)
    -1
  • (iv)
    0
  • (v)
    1
Question 10
10.
    • Find the y-intercept of the line
    • (
      9
      x
      +
      14
      y
      +
      12
      )
      =
      0
  • (i)
    (
    -2

    3
    )
  • (ii)
    (
    -6

    7
    )
  • (iii)
    (
    -4

    7
    )
  • (iv)
    (
    -6

    5
    )
  • (v)
    (
    -8

    7
    )
Question 11
11.
    • The equation of the line with x-intercept
    • 1

      6
    • and y-intercept
    • 2

      7
    • is
  • (i)
    (
    54
    x
    +
    7
    y
    9
    )
    =
    0
  • (ii)
    (
    7
    x
    +
    12
    y
    2
    )
    =
    0
  • (iii)
    (
    12
    x
    +
    49
    y
    14
    )
    =
    0
  • (iv)
    (
    54
    x
    +
    49
    y
    63
    )
    =
    0
  • (v)
    (
    12
    x
    +
    7
    y
    2
    )
    =
    0
Question 12
12.
    • The equation of the line passing through the points
    • (
      (
      1
      )
      ,
      0
      )
    • and
    • (
      (
      4
      )
      ,
      (
      7
      )
      )
    • is
  • (i)
    (
    7
    x
    +
    3
    y
    7
    )
    =
    0
  • (ii)
    (
    7
    x
    +
    y
    +
    35
    )
    =
    0
  • (iii)
    (
    2
    x
    4
    y
    10
    )
    =
    0
  • (iv)
    4
    y
    =
    0
Question 13
13.
    • The equation of the line passing through the point
    • (
      7
      ,
      2
      )
    • and slope
    • 5

      2
    • is
  • (i)
    (
    3
    x
    +
    10
    y
    +
    45
    )
    =
    0
  • (ii)
    (
    5
    x
    +
    2
    y
    +
    31
    )
    =
    0
  • (iii)
    (
    5
    y
    30
    )
    =
    0
  • (iv)
    (
    8
    x
    +
    12
    y
    +
    32
    )
    =
    0
Question 14
14.
    • The equation of the line with slope
    • 3

      8
    • and y-intercept
    • 1

      2
    • is
  • (i)
    (
    3
    x
    +
    8
    y
    4
    )
    =
    0
  • (ii)
    (
    3
    x
    +
    6
    y
    +
    15
    )
    =
    0
  • (iii)
    (
    7
    x
    y
    +
    30
    )
    =
    0
  • (iv)
    (
    4
    x
    9
    y
    25
    )
    =
    0
Question 15
15.
The equation of x-axis is
  • (i)
    y
    =
    1
  • (ii)
    x
    =
    0
  • (iii)
    y
    =
    0
  • (iv)
    y
    =
    x
  • (v)
    x
    =
    1
Question 16
16.
The equation of y-axis is
  • (i)
    x
    =
    0
  • (ii)
    y
    =
    0
  • (iii)
    y
    =
    1
  • (iv)
    y
    =
    x
  • (v)
    x
    =
    1
Question 17
17.
The slope of any line parallel to x-axis is
  • (i)
    90
  • (ii)
    undefined
  • (iii)
    -1
  • (iv)
    1
  • (v)
    zero
Question 18
18.
The slope of any line parallel to y-axis is
  • (i)
    90
  • (ii)
    undefined
  • (iii)
    -1
  • (iv)
    1
  • (v)
    zero
Question 19
19.
Find the x-intercept of the displayed line
  • (i)
    -5
  • (ii)
    (
    -2

    3
    )
  • (iii)
    1
    1

    2
  • (iv)
    3
    1

    3
Question 20
20.
Find the y-intercept of the displayed line
  • (i)
    -15
  • (ii)
    3
    3

    4
  • (iii)
    (
    -1

    4
    )
  • (iv)
    4
Question 21
21.
Which of the following are true?
a)
    • Equation of the line passing through origin is
    • y
      =
      m
      x
      +
      c
b)
    • Equation of the line passing through origin is y = x
c)
    • Equation of the line passing through origin is
    • y
      =
      m
      x
d)
    • Equation of the line passing through origin is y = mx +
    • 9
  • (i)
    {a,b}
  • (ii)
    {d,c}
  • (iii)
    {b,c}
  • (iv)
    {a,c,b}
  • (v)
    {a,d,b}
Question 22
22.
Which of the following are true?
a)
The ordinate of every point on y-axis is zero
b)
The ordinate of every point on x-axis is zero
c)
The abscissa of every point on x-axis is zero
d)
The abscissa of every point on y-axis is zero
  • (i)
    {a,d,b}
  • (ii)
    {a,b}
  • (iii)
    {c,d}
  • (iv)
    {a,c,b}
  • (v)
    {b,d}
Question 23
23.
Which of the following are true?
a)
A horizontal line other than x-axis has no x-intercept
b)
A vertical line other than y-axis has no y-intercept
c)
A horizontal line other than x-axis has no y-intercept
d)
A vertical line other than y-axis has no x-intercept
  • (i)
    {c,b,a}
  • (ii)
    {c,d,a}
  • (iii)
    {c,a}
  • (iv)
    {d,b}
  • (v)
    {a,b}
Question 24
24.
    • Equation of the line passing through a given point
    • (
      x

      1
      ,
      y

      1
      )
    • and having slope
    • m
    • is
a)
    • (
      y
         
      y

      1
      )
      m
      = (
      x
         
      x

      1
      )
b)
    • (
      y
         
      y

      1
      ) =
      m
      (
      x
         
      x

      1
      )
c)
    • (
      y
         
      x

      1
      ) =
      m
      (
      x
         
      y

      1
      )
d)
None of the above
  • (i)
    {b}
  • (ii)
    {c,b}
  • (iii)
    {d,a,b}
  • (iv)
    {a,b}
Question 25
25.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
  • (i)
    x
    =
    0
  • (ii)
    y
    =
    0
  • (iii)
    y
    =
    k
  • (iv)
    x
    =
    y
  • (v)
    x
    =
    k
Question 26
26.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
  • (i)
    x
    =
    0
  • (ii)
    y
    =
    k
  • (iii)
    y
    =
    0
  • (iv)
    x
    =
    k
  • (v)
    x
    =
    y
Question 27
27.
    • If
    • a
      x
      +
      b
      y
      +
      c
      = 0
    • is a straight line, the x-intercept is
  • (i)
    c
  • (ii)
    -c

    a
  • (iii)
    -c

    b
  • (iv)
    b
  • (v)
    a
Question 28
28.
    • If
    • a
      x
      +
      b
      y
      +
      c
      = 0
    • is a straight line, the y-intercept is
  • (i)
    b
  • (ii)
    -c

    a
  • (iii)
    c
  • (iv)
    -c

    b
  • (v)
    a
Question 29
29.
    • The slope of the line
    • a
      x
      +
      b
      y
      +
      c
      = 0
    • is
  • (i)
    -a

    b
  • (ii)
    c
  • (iii)
    a
  • (iv)
    -b

    a
  • (v)
    b
Question 30
30.
    • In equation of the line
    • y
      =
      m
      x
      +
      c
    • , the slope is
  • (i)
    m
  • (ii)
    y
  • (iii)
    x
  • (iv)
    undefined
  • (v)
    c
Question 31
31.
    • In equation of the line
    • y
      =
      m
      x
      +
      c
    • , the y-intercept is
  • (i)
    c
  • (ii)
    m
  • (iii)
    x
  • (iv)
    undefined
  • (v)
    y
Question 32
32.
    • Write the given equation
    • (
      5
      x
      +
      3
      y
      4
      )
      =
      0
    • in
    • y
      =
      m
      x
      +
      c
    • form
  • (i)
    y
    =
    (
    3
    x
    +
    4

    3
    )
  • (ii)
    y
    =
    (
    5

    3
    x
    +
    4

    3
    )
  • (iii)
    y
    =
    (
    5

    3
    x
    +
    2
    )
  • (iv)
    y
    =
    (
    7

    5
    x
    +
    4

    3
    )
  • (v)
    y
    =
    (
    5

    3
    x
    +
    2

    3
    )
Question 33
33.
    • Write the given equation
    • y
      =
      (
      3
      )
    • in
    • a
      x
      +
      b
      y
      +
      c
      = 0
    • form
  • (i)
    (
    2
    y
    +
    3
    )
    =
    0
  • (ii)
    y
    =
    0
  • (iii)
    3
    =
    0
  • (iv)
    (
    y
    +
    6
    )
    =
    0
  • (v)
    (
    y
    +
    3
    )
    =
    0
Question 34
34.
Find the equation of the displayed line
  • (i)
    y
    =
    5
  • (ii)
    x
    =
    4
  • (iii)
    y
    =
    3
  • (iv)
    3
    y
    =
    4
  • (v)
    y
    =
    4
Question 35
35.
Find the equation of the displayed line
  • (i)
    x
    =
    7
  • (ii)
    y
    =
    7
  • (iii)
    x
    =
    8
  • (iv)
    x
    =
    6
  • (v)
    4
    x
    =
    7
Question 36
36.
    • Find the equation of the line passing through the points
    • (
      (
      6
      )
      ,
      (
      7
      )
      )
    • and
    • (
      (
      1
      )
      ,
      2
      )
  • (i)
    (
    10
    x
    5
    y
    +
    19
    )
    =
    0
  • (ii)
    (
    8
    x
    5
    y
    +
    19
    )
    =
    0
  • (iii)
    (
    9
    x
    +
    5
    y
    10
    )
    =
    0
  • (iv)
    (
    9
    x
    5
    y
    +
    19
    )
    =
    0
  • (v)
    (
    9
    x
    +
    5
    y
    24
    )
    =
    0
Question 37
37.
Find the slope of the displayed line
  • (i)
    -1
  • (ii)
    (
    -11

    7
    )
  • (iii)
    (
    -11

    9
    )
  • (iv)
    (
    -7

    5
    )
  • (v)
    (
    -9

    7
    )
Question 38
38.
The equation of the line in slope intercept form is
a)
    • y
      =
      c
      x
      +
      m
b)
    • x
      =
      m
      y
      +
      c
c)
    • y
      =
      m
      x
      +
      c
d)
    • x
      =
      c
      y
      +
      m
  • (i)
    {c}
  • (ii)
    {a,c}
  • (iii)
    {b,c}
  • (iv)
    {d,a,c}
Question 39
39.
The equation of the line in point slope form is
a)
    • (
      y
         
      x

      1
      ) =
      m
      (
      x
         
      y

      1
      )
b)
    • (
      y
         
      y

      1
      )
      m
      = (
      x
         
      x

      1
      )
c)
    • (
      y

      1
         
      y
      )
      m
      = (
      x

      1
        +  
      x
      )
d)
    • (
      y
         
      y

      1
      ) =
      m
      (
      x
         
      x

      1
      )
  • (i)
    {b,d}
  • (ii)
    {a,d}
  • (iii)
    {c,a,d}
  • (iv)
    {d}
Question 40
40.
    • The equation of the line passing through the points
    • (
      x

      1
      ,
      y

      1
      )
    • and
    • (
      x

      2
      ,
      y

      2
      )
    • is
a)
    • (
      x
         
      x

      1
      ) =
      x

      2
         
      x

      1

      y

      2
         
      y

      1
      (
      y
         
      y

      1
      )
b)
    • (
      x
         
      x

      1
      ) =
      x

      2
        +  
      x

      1

      y

      2
        +  
      y

      1
      (
      y
         
      y

      1
      )
c)
    • (
      y
         
      y

      1
      ) =
      y

      2
         
      y

      1

      x

      2
         
      x

      1
      (
      x
         
      x

      1
      )
d)
    • (
      y
         
      y

      1
      ) =
      y

      2
        +  
      y

      1

      x

      2
        +  
      x

      1
      (
      x
         
      x

      1
      )
  • (i)
    {d,c}
  • (ii)
    {b,a}
  • (iii)
    {b,c,a}
  • (iv)
    {a,c}
  • (v)
    {b,d,a}
Question 41
41.
The equation of the x-axis is
a)
    • y
      =
      0
b)
    • x
      =
      0
c)
    • x
      =
      1
d)
    • y
      =
      1
e)
    • x
      =
      y
  • (i)
    {a}
  • (ii)
    {b,a}
  • (iii)
    {c,a}
  • (iv)
    {d,e,a}
Question 42
42.
    • Find the equation of the line through
    • (
      (
      9
      )
      ,
      (
      4
      )
      )
    • and y-intercept
    •  
    • 1
  • (i)
    (
    5
    x
    7
    y
    +
    9
    )
    =
    0
  • (ii)
    (
    4
    x
    10
    y
    4
    )
    =
    0
  • (iii)
    (
    4
    x
    9
    y
    +
    9
    )
    =
    0
  • (iv)
    (
    4
    x
    8
    y
    4
    )
    =
    0
  • (v)
    (
    5
    x
    9
    y
    +
    9
    )
    =
    0
Question 43
43.
    • Find the equation of the line through
    • (
      9
      ,
      4
      )
    • and x-intercept
    •  
    • 7
  • (i)
    (
    3
    x
    +
    9
    y
    63
    )
    =
    0
  • (ii)
    (
    4
    x
    +
    2
    y
    +
    28
    )
    =
    0
  • (iii)
    (
    3
    x
    +
    12
    y
    63
    )
    =
    0
  • (iv)
    (
    4
    x
    +
    5
    y
    +
    28
    )
    =
    0
  • (v)
    (
    5
    x
    +
    2
    y
    +
    28
    )
    =
    0
Question 44
44.
    • Find the x-intercept of the line passing
    • through points
    • (
      3
      ,
      (
      7
      )
      )
    • and
    • (
      4
      ,
      (
      3
      )
      )
  • (i)
    -19
  • (ii)
    4
    3

    4
  • (iii)
    11

    2
  • (iv)
    21

    4
  • (v)
    17

    4
Question 45
45.
    • Find the y-intercept of the line passing
    • through points
    • (
      (
      8
      )
      ,
      8
      )
    • and
    • (
      (
      7
      )
      ,
      2
      )
  • (i)
    -42
  • (ii)
    -41
  • (iii)
    -37
  • (iv)
    (
    -6
    2

    3
    )
  • (v)
    -40
Question 46
46.
    • The slope of the line passing through the points
    • (
      x

      1
      ,
      y

      1
      )
    • and
    • (
      x

      2
      ,
      y

      2
      )
  • (i)
    y

    2
       
    y

    1

    x

    2
       
    x

    1
  • (ii)
    x

    2
       
    x

    1

    y

    2
       
    y

    1
  • (iii)
    x

    2
      +  
    y

    1

    y

    2
      +  
    x

    1
  • (iv)
    x

    2
       
    y

    1

    y

    2
       
    x

    1
  • (v)
    x

    2
      +  
    x

    1

    y

    2
      +  
    y

    1
Question 47
47.
    • (
      (
      2
      )
      ,
      8
      )
    • ,
    • (
      (
      6
      )
      ,
      (
      7
      )
      )
    • and
    • (
      (
      3
      )
      ,
      2
      )
    • are the vertices of triangle ABC.
    • Find the equation of the altitude of the triangle through vertex C
  • (i)
    (
    4
    x
    +
    15
    y
    18
    )
    =
    0
  • (ii)
    (
    4
    x
    +
    17
    y
    18
    )
    =
    0
  • (iii)
    (
    x
    +
    3
    y
    22
    )
    =
    0
  • (iv)
    (
    4
    x
    +
    12
    y
    18
    )
    =
    0
  • (v)
    (
    x
    +
    6
    y
    +
    48
    )
    =
    0
Question 48
48.
    • (
      0
      ,
      1
      )
    • ,
    • (
      (
      3
      )
      ,
      (
      6
      )
      )
    • and
    • (
      (
      7
      )
      ,
      8
      )
    • are the vertices of triangle ABC.
    • Find the equation of the median of the triangle through vertex C
  • (i)
    (
    5
    y
    +
    5
    )
    =
    0
  • (ii)
    (
    21

    2
    x
    +
    13

    2
    y
    +
    59

    2
    )
    =
    0
  • (iii)
    (
    21

    2
    x
    +
    11

    2
    y
    +
    59

    2
    )
    =
    0
  • (iv)
    (
    21

    2
    x
    +
    9

    2
    y
    +
    59

    2
    )
    =
    0
  • (v)
    (
    21

    2
    x
    1

    2
    y
    69

    2
    )
    =
    0
Question 49
49.
    • Equation of the line passing through origin and the point of intersection
    • of lines
    • (
      13
      x
      +
      y
      84
      )
      =
      0
    • and
    • (
      11
      x
      3
      y
      48
      )
      =
      0
  • (i)
    (
    13
    x
    +
    y
    +
    72
    )
    =
    0
  • (ii)
    (
    6
    x
    +
    6
    y
    )
    =
    0
  • (iii)
    (
    5
    x
    +
    6
    y
    )
    =
    0
  • (iv)
    (
    13
    x
    2
    y
    +
    72
    )
    =
    0
  • (v)
    (
    6
    x
    +
    8
    y
    )
    =
    0
Question 50
50.
    • Equation of the line passing through
    • (
      8
      ,
      (
      5
      )
      )
    • and the point of intersection
    • of lines
    • (
      2
      x
      4
      y
      14
      )
      =
      0
    • and
    • (
      5
      x
      35
      )
      =
      0
  • (i)
    4
    y
    =
    0
  • (ii)
    (
    5
    x
    +
    15
    y
    +
    35
    )
    =
    0
  • (iii)
    7
    y
    =
    0
  • (iv)
    (
    5
    x
    +
    17
    y
    +
    35
    )
    =
    0
  • (v)
    (
    4
    x
    +
    15
    y
    +
    35
    )
    =
    0
Question 51
51.
    • Convert the line equation
    • a
      x
      +
      b
      y
      +
      c
      = 0
    • into slope-intercept form
  • (i)
    y
    =
    -b

    a
    x
    c

    b
  • (ii)
    y
    =
    -a

    b
    x
    c

    b
  • (iii)
    y
    =
    b

    a
    x
    c

    b
  • (iv)
    y
    =
    b

    a
    x
    b

    c
Question 52
52.
    • Convert the line equation
    • a
      x
      +
      b
      y
      +
      c
      = 0
    • into intercept form
  • (i)
    x

    (
    -c

    a
    )
    +
     
     
    y

    (
    -c

    b
    )
    = 1
     
     
  • (ii)
    x

    (
    b

    c
    )
    +
     
     
    y

    (
    a

    c
    )
    = 1
     
     
  • (iii)
    x

    (
    b

    -c
    )
    +
     
     
    y

    (
    a

    -c
    )
    = 1
     
     
  • (iv)
    x

    (
    a

    c
    )
    +
     
     
    y

    (
    b

    c
    )
    = 1
     
     
  • (v)
    x

    (
    a

    -c
    )
    +
     
     
    y

    (
    b

    -c
    )
    = 1
     
     
Question 53
53.
    • The points B
    • (
      0
      ,
      1
      )
    • and D
    • (
      (
      9
      )
      ,
      2
      )
    • are the opposite vertices
    • of a square ABCD. Find the equation of the diagonal AC
  • (i)
    (
    9
    x
    +
    y
    +
    42
    )
    =
    0
  • (ii)
    (
    8
    x
    y
    +
    42
    )
    =
    0
  • (iii)
    (
    9
    x
    y
    +
    42
    )
    =
    0
  • (iv)
    (
    x
    +
    6
    y
    9
    )
    =
    0
  • (v)
    (
    x
    +
    9
    y
    9
    )
    =
    0
Question 54
54.
    • Find the point of intersection of
    • (
      11
      y
      +
      33
      )
      =
      0
    • and
    • the line joining points
    • (
      5
      ,
      (
      6
      )
      )
    • and
    • (
      (
      3
      )
      ,
      3
      )
  • (i)
    (
    (
    4
    )
    ,
    4
    )
  • (ii)
    (
    (
    5
    )
    ,
    1
    )
  • (iii)
    (
    (
    1
    )
    ,
    5
    )
  • (iv)
    (
    (
    2
    )
    ,
    2
    )
  • (v)
    (
    (
    3
    )
    ,
    3
    )
Question 55
55.
    • Find the point of intersection of
    • (
      14
      x
      +
      14
      )
      =
      0
    • and
    • the line joining points
    • (
      (
      5
      )
      ,
      (
      5
      )
      )
    • and
    • (
      (
      6
      )
      ,
      4
      )
  • (i)
    (
    (
    1
    )
    ,
    (
    41
    )
    )
  • (ii)
    (
    (
    2
    )
    ,
    (
    40
    )
    )
  • (iii)
    (
    0
    ,
    (
    42
    )
    )
  • (iv)
    (
    (
    3
    )
    ,
    (
    43
    )
    )
  • (v)
    (
    1
    ,
    (
    39
    )
    )
Question 56
56.
    • Find the relation between x and y such that the point P
    • (
      x
      ,
      y
      )
    • is equidistant from points
    • (
      (
      8
      )
      ,
      1
      )
    • and
    • (
      (
      5
      )
      ,
      2
      )
  • (i)
    (
    6
    x
    +
    2
    y
    +
    36
    )
    =
    0
  • (ii)
    (
    x
    5
    y
    3
    )
    =
    0
  • (iii)
    (
    6
    x
    +
    4
    y
    +
    36
    )
    =
    0
  • (iv)
    (
    5
    x
    +
    2
    y
    +
    36
    )
    =
    0
  • (v)
    (
    x
    7
    y
    3
    )
    =
    0
Question 57
57.
    • The equation of the line passing through
    • (
      3
      ,
      2
      )
    • and
    • having the same y-intercept as
    • (
      6
      x
      12
      y
      60
      )
      =
      0
    • is
  • (i)
    (
    8
    x
    +
    3
    y
    +
    15
    )
    =
    0
  • (ii)
    (
    7
    x
    +
    3
    y
    +
    15
    )
    =
    0
  • (iii)
    (
    4
    x
    +
    y
    18
    )
    =
    0
  • (iv)
    (
    4
    x
    +
    3
    y
    18
    )
    =
    0
  • (v)
    (
    7
    x
    +
    6
    y
    +
    15
    )
    =
    0
Question 58
58.
The slope of a line is the tangent of the angle made by the line with the
  • (i)
    positive x-axis
  • (ii)
    positive y-axis
  • (iii)
    negative y-axis
  • (iv)
    negative x-axis
Question 59
59.
    • Find the relation between x and y if the points
    • (
      x
      ,
      y
      )
    • ,
    • (
      3
      ,
      (
      8
      )
      )
    • and
    • (
      (
      1
      )
      ,
      (
      7
      )
      )
    • are collinear
  • (i)
    (
    x
    +
    4
    y
    +
    29
    )
    =
    0
  • (ii)
    (
    6
    x
    +
    y
    +
    13
    )
    =
    0
  • (iii)
    (
    3
    x
    +
    5
    y
    +
    11
    )
    =
    0
  • (iv)
    (
    7
    x
    +
    5
    y
    +
    19
    )
    =
    0
  • (v)
    (
    9
    x
    +
    6
    y
    +
    51
    )
    =
    0
Question 60
60.
    • If the equation of a line is
    • y
      =
      m
      x
      +
      c
    • ,
    • what is the intercept form of the equation?
  • (i)
    x

    (
    -c

    m
    )
    +
     
     
    y

    (
    c

    1
    )
    = 1
     
     
  • (ii)
    x

    (
    m

    -c
    )
    +
     
     
    y

    (
    m

    c
    )
    = 1
     
     
  • (iii)
    x

    (
    m

    c
    )
    +
     
     
    y

    (
    c

    m
    )
    = 1
     
     
  • (iv)
    x

    (
    m

    -c
    )
    +
     
     
    y

    (
    c

    1
    )
    = 1
     
     
Question 61
61.
    • Which of the following lines pass through the origin?
  • (i)
    (
    4
    x
    4
    y
    20
    )
    =
    0
  • (ii)
    (
    2
    x
    11
    y
    19
    )
    =
    0
  • (iii)
    (
    3
    x
    8
    y
    )
    =
    0
  • (iv)
    (
    9
    x
    +
    2
    y
    57
    )
    =
    0
  • (v)
    (
    3
    x
    +
    13
    y
    63
    )
    =
    0
Question 62
62.
    • Which of the following lines do not pass through the origin?
  • (i)
    (
    4
    x
    +
    6
    y
    )
    =
    0
  • (ii)
    (
    5
    x
    5
    y
    )
    =
    0
  • (iii)
    (
    6
    x
    +
    4
    y
    )
    =
    0
  • (iv)
    (
    8
    x
    5
    y
    )
    =
    0
  • (v)
    (
    4
    x
    +
    11
    y
    +
    50
    )
    =
    0
Question 63
63.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        1

        3
        )
      • ,
      • (
        (
        1
        )
        ,
        0
        )
      • ,
      • (
        0
        ,
        (
        1

        3
        )
        )
      • ,
      • (
        1
        ,
        (
        2

        3
        )
        )
      • ,
      • (
        2
        ,
        (
        1
        )
        )
    • ?
  • (i)
    (
    3
    x
    9
    y
    3
    )
    =
    0
  • (ii)
    x
    =
    (
    1

    3
    y
    +
    3
    )
  • (iii)
    x
    =
    0
  • (iv)
    (
    4
    x
    +
    3
    y
    2
    )
    =
    0
  • (v)
    y
    =
    (
    9
    )
Question 64
64.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        13
        )
      • ,
      • (
        (
        1
        )
        ,
        32

        3
        )
      • ,
      • (
        0
        ,
        25

        3
        )
      • ,
      • (
        1
        ,
        6
        )
      • ,
      • (
        2
        ,
        11

        3
        )
    • ?
  • (i)
    (
    15
    x
    +
    6
    y
    5
    )
    =
    0
  • (ii)
    x
    =
    1
  • (iii)
    y
    =
    (
    7

    3
    x
    +
    25

    3
    )
  • (iv)
    (
    14
    x
    6
    y
    12
    )
    =
    0
  • (v)
    y
    =
    6
Question 65
65.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        4

        9
        )
      • ,
      • (
        (
        1
        )
        ,
        5

        18
        )
      • ,
      • (
        0
        ,
        1

        9
        )
      • ,
      • (
        1
        ,
        (
        1

        18
        )
        )
      • ,
      • (
        2
        ,
        (
        2

        9
        )
        )
    • ?
  • (i)
    x
    =
    (
    6
    )
  • (ii)
    (
    3
    x
    +
    18
    y
    2
    )
    =
    0
  • (iii)
    y
    =
    (
    5
    )
  • (iv)
    x
    =
    (
    7

    8
    y
    13

    8
    )
  • (v)
    y
    =
    (
    7

    8
    x
    41

    4
    )
Question 66
66.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        1
        )
      • ,
      • (
        (
        1
        )
        ,
        1
        )
      • ,
      • (
        0
        ,
        1
        )
      • ,
      • (
        1
        ,
        1
        )
      • ,
      • (
        2
        ,
        1
        )
    • ?
  • (i)
    x
    =
    (
    5
    )
  • (ii)
    (
    6
    x
    +
    9
    y
    2
    )
    =
    0
  • (iii)
    y
    =
    1
  • (iv)
    (
    10
    x
    15
    y
    65
    )
    =
    0
  • (v)
    y
    =
    (
    2

    3
    x
    7

    3
    )
Question 67
67.
    • Which of the following equations satisfy the given points
      • (
        (
        9
        )
        ,
        (
        2
        )
        )
      • ,
      • (
        (
        9
        )
        ,
        (
        1
        )
        )
      • ,
      • (
        (
        9
        )
        ,
        0
        )
      • ,
      • (
        (
        9
        )
        ,
        1
        )
      • ,
      • (
        (
        9
        )
        ,
        2
        )
    • ?
  • (i)
    (
    12
    x
    +
    5
    y
    2
    )
    =
    0
  • (ii)
    y
    =
    (
    5
    )
  • (iii)
    x
    =
    (
    10

    9
    y
    31

    9
    )
  • (iv)
    x
    =
    (
    9
    )
  • (v)
    (
    10
    x
    9
    y
    +
    22
    )
    =
    0
Question 68
68.
    • Which of the displayed lines represent the equation
    • (
      4
      x
      5
      y
      1
      )
      =
      0
    • ?
  • (i)
      • line with point
      • U
  • (ii)
      • line with point
      • V
  • (iii)
      • line with point
      • S
  • (iv)
      • line with point
      • T
  • (v)
      • line with point
      • W
Question 69
69.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      9
      )
  • (i)
      • line with point
      • N
  • (ii)
      • line with point
      • P
  • (iii)
      • line with point
      • Q
  • (iv)
      • line with point
      • O
  • (v)
      • line with point
      • R
Question 70
70.
    • Which of the displayed lines represent the equation
    • x
      =
      (
      5
      )
  • (i)
      • line with point
      • Q
  • (ii)
      • line with point
      • S
  • (iii)
      • line with point
      • O
  • (iv)
      • line with point
      • R
  • (v)
      • line with point
      • P
Question 71
71.
    • Which of the displayed lines represent the equation
    • y
      =
      x
  • (i)
      • line with point
      • V
  • (ii)
      • line with point
      • U
  • (iii)
      • line with point
      • S
  • (iv)
      • line with point
      • T
  • (v)
      • line with point
      • W
Question 72
72.
    • Which of the displayed lines represent the equation
    • y
      =
      9

      2
      x
  • (i)
      • line with point
      • N
  • (ii)
      • line with point
      • R
  • (iii)
      • line with point
      • P
  • (iv)
      • line with point
      • Q
  • (v)
      • line with point
      • O
Question 73
73.
    • Find the coordinates of the orthocentre of the triangle
    • whose vertices are
    • (
      5
      ,
      0
      )
    • ,
    • (
      (
      4
      )
      ,
      4
      )
    • and
    • (
      (
      6
      )
      ,
      3
      )
  • (i)
    (
    (
    60

    17
    )
    ,
    188

    17
    )
  • (ii)
    (
    (
    26

    17
    )
    ,
    222

    17
    )
  • (iii)
    (
    (
    43

    17
    )
    ,
    239

    17
    )
  • (iv)
    (
    (
    9

    17
    )
    ,
    205

    17
    )
  • (v)
    (
    8

    17
    ,
    256

    17
    )
Question 74
74.
    • The point of intersection of x-axis and y-axis
  • (i)
    (
    1
    ,
    0
    )
  • (ii)
    (
    0
    ,
    5
    )
  • (iii)
    (
    5
    ,
    0
    )
  • (iv)
    (
    0
    ,
    0
    )
  • (v)
    (
    1
    ,
    1
    )
Question 75
75.
    • KM is the straight line of length



    • 170
    • units.
    • If K has the coordinates
    • (
      (
      4
      )
      ,
      (
      1
      )
      )
    • and M has coordinates
    • (k,6)
    • ,
    • find the possible values of k
  • (i)
    (
    9
    ,
    (
    13
    )
    )
  • (ii)
    (
    8
    ,
    (
    16
    )
    )
  • (iii)
    (
    7
    ,
    (
    15
    )
    )
  • (iv)
    (
    6
    ,
    (
    14
    )
    )
  • (v)
    (
    5
    ,
    (
    17
    )
    )
Question 76
76.
    • Find the point of intersection of x-axis and
    • the line joining points
    • (
      (
      7
      )
      ,
      1
      )
    • and
    • (
      (
      3
      )
      ,
      3
      )
  • (i)
    (
    0
    ,
    (
    9

    2
    )
    )
  • (ii)
    (
    9

    2
    ,
    0
    )
  • (iii)
    (
    (
    9
    )
    ,
    0
    )
  • (iv)
    (
    9
    ,
    0
    )
Question 77
77.
    • Find the point of intersection of y-axis and
    • the line joining points
    • (
      (
      8
      )
      ,
      (
      8
      )
      )
    • and
    • (
      5
      ,
      7
      )
  • (i)
    (
    0
    ,
    16

    13
    )
  • (ii)
    (
    16

    15
    ,
    0
    )
  • (iii)
    (
    0
    ,
    (
    16

    15
    )
    )
  • (iv)
    (
    0
    ,
    (
    16

    13
    )
    )
Question 78
78.
    • The points B
    • (
      1
      ,
      5
      )
    • and D
    • (
      (
      9
      )
      ,
      5
      )
    • are the opposite vertices
    • of a square ABCD. Find the other two vertices
  • (i)
    • (
      (
      4
      )
      ,
      0
      )
    • ,
    • (
      (
      5
      )
      ,
      11
      )
  • (ii)
    • (
      (
      6
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      (
      4
      )
      ,
      10
      )
  • (iii)
    • (
      (
      2
      )
      ,
      2
      )
    • ,
    • (
      (
      4
      )
      ,
      10
      )
  • (iv)
    • (
      (
      4
      )
      ,
      0
      )
    • ,
    • (
      (
      4
      )
      ,
      10
      )
  • (v)
    • (
      (
      3
      )
      ,
      (
      1
      )
      )
    • ,
    • (
      (
      4
      )
      ,
      10
      )
    Assignment Key

  •  1) (ii)
  •  2) (v)
  •  3) (iv)
  •  4) (iii)
  •  5) (iv)
  •  6) (ii)
  •  7) (iii)
  •  8) (iii)
  •  9) (v)
  •  10) (ii)
  •  11) (v)
  •  12) (i)
  •  13) (ii)
  •  14) (i)
  •  15) (iii)
  •  16) (i)
  •  17) (v)
  •  18) (ii)
  •  19) (iv)
  •  20) (i)
  •  21) (iii)
  •  22) (v)
  •  23) (v)
  •  24) (i)
  •  25) (iii)
  •  26) (iv)
  •  27) (ii)
  •  28) (iv)
  •  29) (i)
  •  30) (i)
  •  31) (i)
  •  32) (ii)
  •  33) (v)
  •  34) (v)
  •  35) (i)
  •  36) (iv)
  •  37) (v)
  •  38) (i)
  •  39) (iv)
  •  40) (iv)
  •  41) (i)
  •  42) (v)
  •  43) (ii)
  •  44) (ii)
  •  45) (v)
  •  46) (i)
  •  47) (i)
  •  48) (iii)
  •  49) (ii)
  •  50) (ii)
  •  51) (ii)
  •  52) (i)
  •  53) (iii)
  •  54) (v)
  •  55) (i)
  •  56) (i)
  •  57) (ii)
  •  58) (i)
  •  59) (i)
  •  60) (i)
  •  61) (iii)
  •  62) (v)
  •  63) (i)
  •  64) (iii)
  •  65) (ii)
  •  66) (iii)
  •  67) (iv)
  •  68) (iii)
  •  69) (i)
  •  70) (iii)
  •  71) (iii)
  •  72) (i)
  •  73) (ii)
  •  74) (iv)
  •  75) (iii)
  •  76) (iii)
  •  77) (i)
  •  78) (iv)