ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Equation of a Straight Line
Question 1
1.
    • The equation of the line passing through
    • (
      (
      −
      6
      )
      ,
      3
      )
    • and
    • having the same y-intercept as
    • (
      −
      x
      −
      13
      y
      −
      19
      		)
      =
      0
    • is
  • (
    −
    58
    13
    x
    −
    4
    y
    −
    114
    13
    		)
    =
    0
  • (
    5
    x
    +
    13
    y
    −
    9
    		)
    =
    0
  • (
    −
    58
    11
    x
    −
    6
    y
    −
    114
    13
    		)
    =
    0
  • (
    −
    58
    13
    x
    −
    6
    y
    −
    114
    13
    		)
    =
    0
  • (
    5
    x
    +
    11
    y
    −
    9
    		)
    =
    0
Question 2
2.
Two straight lines are parallel if and only if their slopes are
  • undefined
  • 1
  • equal
  • 0
  • unequal
Question 3
3.
    • Which of the following pairs of lines are parallel?
      • (
        −
        5
        x
        +
        16
        y
        −
        72
        		)
        =
        0
      • ,
      • (
        −
        5
        x
        +
        16
        y
        −
        74
        		)
        =
        0
      • (
        −
        5
        x
        +
        16
        y
        −
        72
        		)
        =
        0
      • ,
      • (
        16
        x
        +
        5
        y
        +
        6
        		)
        =
        0
      • (
        −
        5
        x
        +
        16
        y
        −
        72
        		)
        =
        0
      • ,
      • (
        −
        21
        x
        +
        16
        y
        −
        106
        		)
        =
        0
      • (
        −
        5
        x
        +
        16
        y
        −
        72
        		)
        =
        0
      • ,
      • (
        11
        x
        +
        5
        y
        +
        1
        		)
        =
        0
Question 4
4.
    • The equation of the line passing through
    • (
      x

      1
      ,
      y

      1
      )
    • and parallel to the line
    • a
      x
      +
      b
      y
      +
      c
      = 0
    • is
  • (
    y
    		  −  
    y

    1
    ) =
    b
    a
    (
    x
    		  −  
    x

    1
    )
  • (
    y
    		  −  
    y

    1
    ) =
    -a
    b
    (
    x
    		  −  
    x

    1
    )
  • (
    y
    		  −  
    y

    1
    ) =
    c
    b
    (
    x
    		  −  
    x

    1
    )
  • (
    y
    		  −  
    y

    1
    ) =
    a
    b
    (
    x
    		  −  
    x

    1
    )
Question 5
5.
Which of the following are true ?
a)
Equations of two parallel lines have the same constant and coefficients of x and y will be same
b)
Equations of two parallel lines differ in the constant and coefficients of x and y will not be same
c)
Equations of two parallel lines differ in the constant term only, coefficients of x and y will be same
d)
Equations of two parallel lines have the same constant and coefficients of x and y will not be same
  • {c}
  • {d,a,c}
  • {b,c}
  • {a,c}
Question 6
6.
    • The equation of the line perpendicular to
    • (
      −
      2
      x
      +
      13
      y
      +
      49
      		)
      =
      0
    • and making a y-intercept of
    • 7
    • is
  • (
    10
    x
    +
    5
    y
    −
    35
    		)
    =
    0
  • (
    3
    x
    +
    5
    y
    		)
    =
    0
  • (
    5
    x
    −
    8
    y
    		)
    =
    0
  • (
    12
    x
    −
    8
    y
    +
    56
    		)
    =
    0
  • (
    13
    x
    +
    2
    y
    −
    14
    		)
    =
    0
Question 7
7.
    • Determine the ratio in which the line
    • (
      2
      x
      −
      9
      y
      +
      28
      		)
      =
      0
    • divides the join of points
    • (
      2
      ,
      (
      −
      4
      )
      )
    • and
    • (
      3
      ,
      5
      )
  • 68
    		:
    14
  • 68
    		:
    11
  • 67
    		:
    11
  • 69
    		:
    11
  • 68
    		:
    9
Question 8
8.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        (
        −
        5
        )
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        (
        −
        5
        )
        )
      • ,
      • (
        0
        ,
        (
        −
        5
        )
        )
      • ,
      • (
        1
        ,
        (
        −
        5
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        5
        )
        )
    • ?
  • y
    =
    (
    −
    5
    		)
  • (
    −
    12
    x
    −
    15
    y
    +
    9
    		)
    =
    0
  • (
    8
    x
    +
    9
    y
    −
    7
    		)
    =
    0
  • x
    =
    (
    4
    5
    y
    +
    3
    		)
  • y
    =
    (
    −
    4
    5
    x
    −
    29
    5
    		)
Question 9
9.
The equation of the x-axis is
a)
    • x
      =
      0
b)
    • x
      =
      1
c)
    • x
      =
      y
d)
    • y
      =
      1
e)
    • y
      =
      0
  • {e}
  • {b,e}
  • {c,d,e}
  • {a,e}
Question 10
10.
    • Find the equation of a straight line parallel to y-axis and
    • passing through the point
    • (
      7
      ,
      4
      )
  • y
    =
    4
  • y
    =
    6
  • x
    =
    7
  • x
    =
    10
  • x
    =
    6