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 lines pass through the origin?
  • (
    −
    13
    x
    +
    4
    y
    −
    67
    		)
    =
    0
  • (
    5
    x
    +
    2
    y
    −
    32
    		)
    =
    0
  • (
    x
    −
    6
    y
    		)
    =
    0
  • (
    2
    x
    −
    15
    y
    −
    76
    		)
    =
    0
  • (
    6
    x
    +
    9
    y
    −
    45
    		)
    =
    0
Question 2
2.
    • Find the equation parallel to the given equation
    • (
      −
      6
      x
      −
      3
      y
      −
      6
      		)
      =
      0
  • (
    −
    6
    x
    −
    3
    y
    −
    1
    		)
    =
    0
  • (
    −
    3
    x
    +
    2
    y
    −
    12
    		)
    =
    0
  • (
    3
    x
    +
    3
    y
    +
    15
    		)
    =
    0
  • (
    −
    x
    +
    2
    y
    −
    4
    		)
    =
    0
Question 3
3.
    • Which of the following equations satisfy the given points
      • (
        3
        ,
        (
        −
        2
        )
        )
      • ,
      • (
        3
        ,
        (
        −
        1
        )
        )
      • ,
      • (
        3
        ,
        0
        )
      • ,
      • (
        3
        ,
        1
        )
      • ,
      • (
        3
        ,
        2
        )
    • ?
  • (
    −
    8
    x
    −
    6
    y
    		)
    =
    0
  • y
    =
    (
    −
    4
    3
    x
    +
    9
    		)
  • x
    =
    (
    4
    3
    y
    −
    11
    3
    		)
  • x
    =
    3
  • (
    3
    x
    +
    2
    y
    −
    1
    		)
    =
    0
Question 4
4.
    • In equation of the line
    • y
      =
      m
      x
      +
      c
    • , the slope is
  • x
  • y
  • m
  • c
  • undefined
Question 5
5.
The slope of y-axis is
  • -1
  • 0
  • 90
  • undefined
  • 1
Question 6
6.
    • (
      2
      ,
      8
      )
    • ,
    • (
      5
      ,
      (
      −
      4
      )
      )
    • and
    • (
      (
      −
      1
      )
      ,
      1
      )
    • are the vertices of triangle ABC.
    • Find the equation of the altitude of the triangle through vertex C
  • (
    −
    x
    +
    y
    −
    5
    		)
    =
    0
  • (
    −
    6
    x
    +
    5
    y
    −
    28
    		)
    =
    0
  • (
    −
    x
    +
    4
    y
    −
    5
    		)
    =
    0
  • (
    −
    x
    +
    7
    y
    −
    5
    		)
    =
    0
  • (
    3
    x
    +
    7
    y
    +
    13
    		)
    =
    0
Question 7
7.
    • Find the point of intersection of x-axis and
    • the line joining points
    • (
      (
      −
      4
      )
      ,
      (
      −
      1
      )
      )
    • and
    • (
      (
      −
      3
      )
      ,
      5
      )
  • (
    0
    ,
    (
    −
    23
    )
    )
  • (
    (
    −
    23
    6
    )
    ,
    0
    )
  • (
    23
    6
    ,
    0
    )
  • (
    23
    ,
    0
    )
Question 8
8.
    • Which of the displayed lines represent the equation
    • (
      3
      x
      −
      3
      y
      −
      3
      		)
      =
      0
    • ?
      • line with point
      • S
      • line with point
      • U
      • line with point
      • R
      • line with point
      • T
      • line with point
      • Q
Question 9
9.
    • Find the y-intercept of the line
    • (
      6
      x
      −
      9
      y
      −
      30
      		)
      =
      0
  • -4
  • -10
  • (
    -8
    3
    		 )
  • (
    -10
    3
    		 )
  • -2
Question 10
10.
    • Equation of the line passing through
    • (
      0
      ,
      2
      )
    • and the point of intersection
    • of lines
    • (
      −
      7
      x
      +
      6
      y
      −
      31
      		)
      =
      0
    • and
    • (
      −
      12
      x
      −
      8
      y
      +
      20
      		)
      =
      0
  • (
    2
    x
    +
    y
    −
    2
    		)
    =
    0
  • (
    4
    x
    −
    2
    y
    		)
    =
    0
  • (
    2
    x
    +
    3
    y
    −
    2
    		)
    =
    0
  • (
    4
    x
    +
    y
    		)
    =
    0
  • (
    x
    +
    y
    −
    2
    		)
    =
    0