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 perpendicular to
    • (
      5
      x
      +
      11
      y
      −
      40
      		)
      =
      0
    • and making a y-intercept of
    • 8
    • is
  • (
    −
    6
    x
    +
    y
    +
    48
    		)
    =
    0
  • (
    3
    x
    −
    3
    y
    +
    24
    		)
    =
    0
  • (
    −
    11
    x
    +
    5
    y
    −
    40
    		)
    =
    0
  • (
    8
    x
    +
    8
    y
    −
    64
    		)
    =
    0
  • (
    −
    11
    x
    −
    10
    y
    +
    17
    		)
    =
    0
Question 2
2.
    • (
      1
      ,
      4
      )
    • ,
    • (
      6
      ,
      4
      )
    • and
    • (
      (
      −
      8
      )
      ,
      2
      )
    • are the vertices of triangle ABC.
    • Find the equation of the median of the triangle through vertex C
  • (
    −
    2
    x
    +
    23
    2
    y
    −
    39
    		)
    =
    0
  • (
    x
    −
    2
    y
    +
    7
    		)
    =
    0
  • (
    −
    2
    x
    +
    25
    2
    y
    −
    39
    		)
    =
    0
  • (
    −
    2
    x
    +
    21
    2
    y
    −
    39
    		)
    =
    0
  • (
    x
    −
    19
    2
    y
    +
    32
    		)
    =
    0
Question 3
3.
    • Find equation of the right bisector of the line segment
    • joining the points
    • (
      (
      −
      8
      )
      ,
      7
      )
    • and
    • (
      6
      ,
      6
      )
  • (
    −
    14
    x
    +
    y
    −
    119
    		)
    =
    0
  • (
    −
    14
    x
    +
    y
    +
    78
    		)
    =
    0
  • (
    −
    28
    x
    +
    2
    y
    −
    41
    		)
    =
    0
  • (
    x
    +
    14
    y
    +
    2
    		)
    =
    0
  • (
    −
    14
    x
    +
    y
    −
    28
    		)
    =
    0
Question 4
4.
    • In equation of the line
    • y
      =
      m
      x
      +
      c
    • , the slope is
  • y
  • m
  • x
  • undefined
  • c
Question 5
5.
Any line parallel to x-axis is
  • a vertical line
  • a curved line
  • a horizontal line
  • an oblique line
Question 6
6.
    • The equation of the line parallel to
    • (
      −
      2
      x
      −
      4
      y
      −
      20
      		)
      =
      0
    • and making a y-intercept of
    • 4
    • is
  • (
    14
    x
    +
    12
    y
    +
    12
    		)
    =
    0
  • (
    12
    x
    +
    8
    y
    +
    24
    		)
    =
    0
  • (
    10
    x
    +
    2
    y
    −
    8
    		)
    =
    0
  • (
    12
    x
    +
    6
    y
    −
    24
    		)
    =
    0
  • (
    x
    +
    2
    y
    −
    8
    		)
    =
    0
Question 7
7.
    • If
    • a
      x
      +
      b
      y
      +
      c
      = 0
    • is a straight line, the x-intercept is
  • -c
    a
  • b
  • a
  • -c
    b
  • c
Question 8
8.
    • The equation of the line passing through the points
    • (
      4
      ,
      (
      −
      1
      )
      )
    • and
    • (
      (
      −
      7
      )
      ,
      (
      −
      8
      )
      )
    • is
  • (
    16
    x
    −
    13
    y
    +
    8
    		)
    =
    0
  • (
    −
    2
    x
    +
    4
    y
    −
    20
    		)
    =
    0
  • (
    9
    x
    −
    2
    y
    −
    38
    		)
    =
    0
  • (
    −
    7
    x
    +
    11
    y
    +
    39
    		)
    =
    0
Question 9
9.
    • Find the point of intersection of y-axis and
    • the line joining points
    • (
      (
      −
      6
      )
      ,
      (
      −
      1
      )
      )
    • and
    • (
      2
      ,
      (
      −
      6
      )
      )
  • (
    38
    5
    ,
    0
    )
  • (
    0
    ,
    (
    −
    38
    5
    )
    )
  • (
    0
    ,
    19
    4
    )
  • (
    0
    ,
    (
    −
    19
    4
    )
    )
Question 10
10.
    • Which of the displayed lines represent the equation
    • (
      3
      x
      −
      5
      y
      −
      13
      		)
      =
      0
    • ?
      • line with point
      • T
      • line with point
      • P
      • line with point
      • R
      • line with point
      • S
      • line with point
      • Q