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 displayed lines represent the equation
    • x
      =
      (
      −
      9
      		)
      • line with point
      • R
      • line with point
      • S
      • line with point
      • T
      • line with point
      • Q
      • line with point
      • P
Question 2
2.
Which of the following are true?
a)
The ordinate of every point on y-axis is zero
b)
The ordinate of every point on x-axis is zero
c)
The abscissa of every point on x-axis is zero
d)
The abscissa of every point on y-axis is zero
  • {a,b}
  • {b,d}
  • {a,d,b}
  • {c,d}
  • {a,c,b}
Question 3
3.
    • The slope of the line perpendicular to the line passing through
    • the points
    • (
      4
      ,
      3
      )
    • and
    • (
      6
      ,
      1
      )
    • is
  • 2
  • 4
  • 0
  • 1
  • -2
Question 4
4.
    • KM is the straight line of length

    • √

      185
    • units.
    • If K has the coordinates
    • (
      7
      ,
      6
      )
    • and M has coordinates
    • (k,-2)
    • ,
    • find the possible values of k
  • (
    17
    ,
    (
    −
    3
    )
    )
  • (
    19
    ,
    (
    −
    5
    )
    )
  • (
    16
    ,
    (
    −
    6
    )
    )
  • (
    20
    ,
    (
    −
    2
    )
    )
  • (
    18
    ,
    (
    −
    4
    )
    )
Question 5
5.
The equation of x-axis is
  • y
    =
    0
  • x
    =
    0
  • x
    =
    1
  • y
    =
    1
  • y
    =
    x
Question 6
6.
The equation of the line in point slope form is
a)
    • (
      y

      1
      		  −  
      y
      )
      m
      = (
      x

      1
      		  +  
      x
      )
b)
    • (
      y
      		  −  
      y

      1
      ) =
      m
      (
      x
      		  −  
      x

      1
      )
c)
    • (
      y
      		  −  
      x

      1
      ) =
      m
      (
      x
      		  −  
      y

      1
      )
d)
    • (
      y
      		  −  
      y

      1
      )
      m
      = (
      x
      		  −  
      x

      1
      )
  • {c,b}
  • {b}
  • {d,a,b}
  • {a,b}
Question 7
7.
    • The equation of the line passing through
    • (
      6
      ,
      3
      )
    • and parallel to the line
    • (
      x
      −
      6
      y
      +
      46
      		)
      =
      0
    • is
  • (
    −
    5
    x
    −
    4
    y
    +
    42
    		)
    =
    0
  • (
    −
    x
    +
    6
    y
    +
    12
    		)
    =
    0
  • (
    −
    8
    x
    −
    10
    y
    +
    38
    		)
    =
    0
  • (
    −
    9
    x
    −
    4
    y
    +
    50
    		)
    =
    0
  • (
    −
    x
    +
    6
    y
    −
    12
    		)
    =
    0
Question 8
8.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        (
        −
        2
        )
        )
      • ,
      • (
        (
        −
        2
        )
        ,
        (
        −
        1
        )
        )
      • ,
      • (
        (
        −
        2
        )
        ,
        0
        )
      • ,
      • (
        (
        −
        2
        )
        ,
        1
        )
      • ,
      • (
        (
        −
        2
        )
        ,
        2
        )
    • ?
  • x
    =
    (
    −
    2
    		)
  • (
    −
    8
    x
    −
    11
    y
    −
    21
    		)
    =
    0
  • x
    =
    (
    8
    11
    y
    −
    54
    11
    		)
  • y
    =
    (
    −
    8
    11
    x
    +
    28
    11
    		)
  • (
    7
    x
    +
    9
    y
    −
    3
    		)
    =
    0
Question 9
9.
    • The equation of the line with x-intercept
    • 3
      9
    • and y-intercept
    • 6
      8
    • is
  • (
    4
    x
    +
    9
    y
    −
    3
    		)
    =
    0
  • (
    9
    x
    +
    16
    y
    −
    12
    		)
    =
    0
  • (
    9
    x
    +
    4
    y
    −
    3
    		)
    =
    0
  • (
    21
    x
    +
    4
    y
    −
    7
    		)
    =
    0
  • (
    21
    x
    +
    16
    y
    −
    28
    		)
    =
    0
Question 10
10.
    • The slope of a line perpendicular to the line
    • (
      5
      x
      +
      y
      −
      4
      		)
      =
      0
    • is
  • 3
    5
  • 1
    7
  • 1
    5
  • 1
    3
  • (
    -1
    5
    		 )