ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Equation of a Straight Line
Question 1
1.
    • Equation of the line passing through a given point
    • (
      x

      1
      ,
      y

      1
      )
    • and having slope
    • m
    • is
a)
    • (
      y
      		  −  
      x

      1
      ) =
      m
      (
      x
      		  −  
      y

      1
      )
b)
    • (
      y
      		  −  
      y

      1
      )
      m
      = (
      x
      		  −  
      x

      1
      )
c)
    • (
      y
      		  −  
      y

      1
      ) =
      m
      (
      x
      		  −  
      x

      1
      )
d)
None of the above
  • {d,a,c}
  • {c}
  • {b,c}
  • {a,c}
Question 2
2.
    • Determine the ratio in which the line
    • (
      2
      x
      −
      2
      y
      −
      2
      		)
      =
      0
    • divides the join of points
    • (
      2
      ,
      (
      −
      2
      )
      )
    • and
    • (
      0
      ,
      1
      )
  • 3
    		:
    -1
  • 3
    		:
    4
  • 3
    		:
    2
  • 4
    		:
    2
  • 2
    		:
    2
Question 3
3.
    • The equation of the line with x-intercept
    • 2
      3
    • and y-intercept
    • 2
      3
    • is
  • (
    6
    x
    +
    15
    y
    −
    10
    		)
    =
    0
  • (
    3
    x
    +
    3
    y
    −
    5
    		)
    =
    0
  • (
    15
    x
    +
    6
    y
    −
    10
    		)
    =
    0
  • (
    3
    x
    +
    3
    y
    −
    2
    		)
    =
    0
Question 4
4.
    • Find the relation between x and y such that the point P
    • (
      x
      ,
      y
      )
    • is equidistant from points
    • (
      (
      −
      8
      )
      ,
      (
      −
      6
      )
      )
    • and
    • (
      (
      −
      1
      )
      ,
      (
      −
      8
      )
      )
  • (
    −
    14
    x
    +
    4
    y
    −
    35
    		)
    =
    0
  • (
    6
    x
    −
    9
    y
    +
    6
    		)
    =
    0
  • (
    −
    14
    x
    +
    7
    y
    −
    35
    		)
    =
    0
  • (
    6
    x
    −
    7
    y
    +
    6
    		)
    =
    0
  • (
    −
    15
    x
    +
    4
    y
    −
    35
    		)
    =
    0
Question 5
5.
    • Find the y-intercept of the line passing
    • through points
    • (
      (
      −
      5
      )
      ,
      (
      −
      5
      )
      )
    • and
    • (
      (
      −
      6
      )
      ,
      2
      )
  • -38
  • (
    -5
    5
    7
    		 )
  • -42
  • -41
  • -40
Question 6
6.
    • Find the equation perpendicular to the given equation
    • (
      8
      x
      +
      8
      y
      −
      1
      		)
      =
      0
  • (
    8
    x
    +
    8
    y
    −
    10
    		)
    =
    0
  • (
    −
    x
    +
    y
    −
    12
    		)
    =
    0
  • (
    −
    2
    x
    +
    y
    		)
    =
    0
  • (
    y
    −
    2
    		)
    =
    0
Question 7
7.
    • Equation of the line passing through origin and the point of intersection
    • of lines
    • (
      −
      3
      y
      −
      15
      		)
      =
      0
    • and
    • (
      11
      x
      −
      6
      y
      +
      3
      		)
      =
      0
  • (
    −
    5
    x
    +
    5
    y
    		)
    =
    0
  • (
    x
    −
    4
    y
    −
    17
    		)
    =
    0
  • (
    −
    6
    x
    +
    3
    y
    		)
    =
    0
  • (
    −
    5
    x
    +
    3
    y
    		)
    =
    0
  • (
    x
    −
    7
    y
    −
    17
    		)
    =
    0
Question 8
8.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        4
        )
        ,
        (
        −
        2
        )
        )
      • ,
      • (
        (
        −
        4
        )
        ,
        (
        −
        1
        )
        )
      • ,
      • (
        (
        −
        4
        )
        ,
        0
        )
      • ,
      • (
        (
        −
        4
        )
        ,
        1
        )
      • ,
      • (
        (
        −
        4
        )
        ,
        2
        )
    • ?
  • x
    =
    (
    12
    11
    y
    −
    140
    11
    		)
  • (
    −
    12
    x
    −
    11
    y
    −
    19
    		)
    =
    0
  • y
    =
    (
    −
    12
    11
    x
    +
    40
    11
    		)
  • x
    =
    (
    −
    4
    		)
  • y
    =
    8
Question 9
9.
The slope of any line parallel to y-axis is
  • undefined
  • zero
  • 1
  • 90
  • -1
Question 10
10.
    • The equation of the line perpendicular to
    • (
      x
      −
      6
      y
      −
      12
      		)
      =
      0
    • and making a y-intercept of
    • 0
    • is
  • (
    x
    +
    6
    y
    		)
    =
    0
  • (
    −
    5
    x
    +
    4
    y
    +
    8
    		)
    =
    0
  • (
    −
    6
    x
    +
    10
    y
    +
    46
    		)
    =
    0
  • (
    6
    x
    +
    y
    		)
    =
    0
  • 2
    x
    =
    0