ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Equation of a Straight Line
Question 1
1.
    • Find the point of intersection of x-axis and
    • the line joining points
    • (
      (
      −
      6
      )
      ,
      4
      )
    • and
    • (
      (
      −
      5
      )
      ,
      (
      −
      5
      )
      )
  • (
    0
    ,
    50
    )
  • (
    50
    9
    ,
    0
    )
  • (
    (
    −
    50
    )
    ,
    0
    )
  • (
    (
    −
    50
    9
    )
    ,
    0
    )
Question 2
2.
    • (
      (
      −
      1
      )
      ,
      5
      )
    • ,
    • (
      4
      ,
      (
      −
      2
      )
      )
    • and
    • (
      7
      ,
      (
      −
      7
      )
      )
    • are the vertices of triangle ABC.
    • Find the equation of the median of the triangle through vertex C
  • (
    −
    17
    2
    x
    −
    9
    2
    y
    +
    21
    		)
    =
    0
  • (
    −
    17
    2
    x
    −
    13
    2
    y
    +
    21
    		)
    =
    0
  • (
    19
    2
    x
    +
    13
    2
    y
    −
    23
    		)
    =
    0
  • (
    −
    17
    2
    x
    −
    11
    2
    y
    +
    21
    		)
    =
    0
  • (
    −
    x
    −
    y
    +
    2
    		)
    =
    0
Question 3
3.
    • Which of the following pairs of lines are parallel?
      • (
        −
        2
        x
        +
        10
        y
        −
        66
        		)
        =
        0
      • ,
      • (
        −
        x
        +
        5
        y
        −
        21
        		)
        =
        0
      • (
        −
        2
        x
        +
        10
        y
        −
        66
        		)
        =
        0
      • ,
      • (
        4
        x
        +
        y
        +
        35
        		)
        =
        0
      • (
        −
        2
        x
        +
        10
        y
        −
        66
        		)
        =
        0
      • ,
      • (
        −
        6
        x
        +
        5
        y
        −
        1
        		)
        =
        0
      • (
        −
        2
        x
        +
        10
        y
        −
        66
        		)
        =
        0
      • ,
      • (
        5
        x
        +
        y
        +
        43
        		)
        =
        0
Question 4
4.
    • The equation of the line with slope
    • m
    • ≠
    • 0 and y-intercept
    • c
    • ≠
    • 0 is
  • y
    =
    m
    x
  • y
    =
    0
  • y
    =
    m
    x
    +
    c
  • x
    =
    m
    y
    +
    c
  • x
    =
    0
Question 5
5.
    • Which of the displayed lines represent the equation
    • x
      =
      (
      −
      8
      		)
      • line with point
      • Q
      • line with point
      • N
      • line with point
      • P
      • line with point
      • O
      • line with point
      • R
Question 6
6.
    • Find the value of k such that the points
    • (
      (
      −
      6
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      (
      −
      1
      )
      )
    • and
    • (-6,k)
    • are collinear
  • 6
  • 8
  • 9
  • 7
  • 10
Question 7
7.
    • KM is the straight line of length

    • √

      137
    • units.
    • If K has the coordinates
    • (
      (
      −
      4
      )
      ,
      7
      )
    • and M has coordinates
    • (k,3)
    • ,
    • find the possible values of k
  • (
    6
    ,
    (
    −
    14
    )
    )
  • (
    7
    ,
    (
    −
    15
    )
    )
  • (
    9
    ,
    (
    −
    13
    )
    )
  • (
    5
    ,
    (
    −
    17
    )
    )
  • (
    8
    ,
    (
    −
    16
    )
    )
Question 8
8.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        5
        2
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        3
        2
        )
      • ,
      • (
        0
        ,
        1
        2
        )
      • ,
      • (
        1
        ,
        (
        −
        1
        2
        )
        )
      • ,
      • (
        2
        ,
        (
        −
        3
        2
        )
        )
    • ?
  • x
    =
    0
  • x
    =
    (
    17
    16
    y
    +
    17
    2
    		)
  • (
    2
    x
    +
    2
    y
    −
    1
    		)
    =
    0
  • (
    −
    17
    x
    −
    16
    y
    −
    8
    		)
    =
    0
  • y
    =
    (
    −
    8
    		)
Question 9
9.
Which of the following are true?
a)
    • Equation of the line passing through origin is y = x
b)
    • Equation of the line passing through origin is
    • y
      =
      m
      x
      +
      c
c)
    • Equation of the line passing through origin is
    • y
      =
      m
      x
d)
    • Equation of the line passing through origin is y = mx +
    • 7
  • {d,c}
  • {b,d,a}
  • {a,c}
  • {b,a}
  • {b,c,a}
Question 10
10.
    • Find the equation of a straight line parallel to y-axis and
    • passing through the point
    • (
      7
      ,
      4
      )
  • y
    =
    7
  • x
    =
    9
  • y
    =
    4
  • x
    =
    7
  • x
    =
    6