ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Equation of a Straight Line
Question 1
1.
Which of the following are true?
a)
Slope of any line parallel to y-axis is not defined
b)
Slope of any line parallel to x-axis is zero
c)
Slope of any line parallel to y-axis is zero
d)
Slope of any line parallel to x-axis is not defined
  • {d,b}
  • {c,b,a}
  • {c,d,a}
  • {c,a}
  • {a,b}
Question 2
2.
Find the equation of the displayed line
  • x
    =
    (
    −
    2
    		)
  • y
    =
    (
    −
    3
    		)
  • 3
    y
    =
    (
    −
    2
    		)
  • y
    =
    (
    −
    1
    		)
  • y
    =
    (
    −
    2
    		)
Question 3
3.
The equation of the x-axis is
a)
    • x
      =
      y
b)
    • x
      =
      1
c)
    • y
      =
      1
d)
    • y
      =
      0
e)
    • x
      =
      0
  • {d}
  • {c,e,d}
  • {a,d}
  • {b,d}
Question 4
4.
    • The equation of the line with x-intercept
    • 2
      3
    • and y-intercept
    • 1
      2
    • is
  • (
    4
    x
    +
    3
    y
    −
    2
    		)
    =
    0
  • (
    3
    x
    +
    10
    y
    −
    5
    		)
    =
    0
  • (
    9
    x
    +
    4
    y
    −
    6
    		)
    =
    0
  • (
    9
    x
    +
    10
    y
    −
    15
    		)
    =
    0
  • (
    3
    x
    +
    4
    y
    −
    2
    		)
    =
    0
Question 5
5.
    • Find the equation of the line which is parallel to the line
    • (
      9
      x
      −
      12
      y
      −
      24
      		)
      =
      0
    • and
    • making a y-intercept of
    • 6
  • (
    −
    4
    x
    +
    4
    y
    −
    24
    		)
    =
    0
  • (
    −
    3
    x
    +
    4
    y
    −
    24
    		)
    =
    0
  • (
    −
    3
    x
    +
    6
    y
    −
    24
    		)
    =
    0
  • (
    4
    x
    −
    18
    		)
    =
    0
  • (
    4
    x
    +
    3
    y
    −
    18
    		)
    =
    0
Question 6
6.
    • Determine the ratio in which the line
    • (
      −
      4
      x
      −
      11
      y
      +
      20
      		)
      =
      0
    • divides the join of points
    • (
      1
      ,
      (
      −
      5
      )
      )
    • and
    • (
      2
      ,
      6
      )
  • 72
    		:
    54
  • 70
    		:
    54
  • 71
    		:
    51
  • 71
    		:
    54
  • 71
    		:
    57
Question 7
7.
    • The equation of the line passing through
    • (
      6
      ,
      (
      −
      1
      )
      )
    • and perpendicular to the line
    • (
      −
      3
      x
      −
      3
      y
      +
      3
      		)
      =
      0
    • is
  • (
    −
    3
    x
    +
    3
    y
    +
    21
    		)
    =
    0
  • (
    4
    x
    −
    24
    		)
    =
    0
  • (
    −
    3
    x
    +
    3
    y
    −
    3
    		)
    =
    0
  • (
    5
    x
    +
    7
    y
    +
    5
    		)
    =
    0
  • (
    2
    x
    +
    4
    y
    +
    2
    		)
    =
    0
Question 8
8.
    • If
    • a
      x
      +
      b
      y
      +
      c
      = 0
    • is a straight line, the y-intercept is
  • a
  • -c
    b
  • -c
    a
  • c
  • b
Question 9
9.
    • Find the equation of a straight line parallel to y-axis and
    • passing through the point
    • (
      1
      ,
      (
      −
      5
      )
      )
  • x
    =
    1
  • x
    =
    4
  • x
    =
    0
  • y
    =
    (
    −
    5
    		)
  • y
    =
    (
    −
    2
    		)
Question 10
10.
    • Find the x-intercept of the line passing
    • through points
    • (
      (
      −
      6
      )
      ,
      (
      −
      3
      )
      )
    • and
    • (
      (
      −
      4
      )
      ,
      (
      −
      2
      )
      )
  • -1
  • 3
  • -2
  • 0