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 slope of any line parallel to y-axis is
  • -1
  • zero
  • undefined
  • 1
  • 90
Question 2
2.
    • Find equation of the right bisector of the line segment
    • joining the points
    • (
      6
      ,
      (
      −
      6
      )
      )
    • and
    • (
      5
      ,
      2
      )
  • (
    −
    x
    +
    8
    y
    −
    11
    		)
    =
    0
  • (
    −
    x
    +
    8
    y
    +
    60
    		)
    =
    0
  • (
    8
    x
    +
    y
    −
    25
    		)
    =
    0
  • (
    −
    2
    x
    +
    16
    y
    +
    43
    		)
    =
    0
  • (
    −
    x
    +
    8
    y
    +
    54
    		)
    =
    0
Question 3
3.
    • Find the value of k such that the points
    • (
      (
      −
      9
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      41
      17
      )
      ,
      42
      17
      )
    • and
    • (7,k)
    • are collinear
  • 5
  • 7
  • 6
  • 8
  • 4
Question 4
4.
    • Find the equation of the line through
    • (
      (
      −
      3
      )
      ,
      1
      )
    • and y-intercept
    •  
    • 2
  • (
    −
    x
    −
    5
    y
    +
    2
    		)
    =
    0
  • (
    −
    x
    −
    3
    y
    +
    2
    		)
    =
    0
  • (
    x
    −
    3
    y
    +
    6
    		)
    =
    0
  • (
    −
    3
    y
    +
    6
    		)
    =
    0
  • (
    x
    −
    y
    +
    6
    		)
    =
    0
Question 5
5.
    • The points B
    • (
      1
      ,
      5
      )
    • and D
    • (
      (
      −
      6
      )
      ,
      4
      )
    • are the opposite vertices
    • of a square ABCD. Find the equation of the diagonal AC
  • (
    −
    x
    +
    7
    y
    −
    34
    		)
    =
    0
  • (
    7
    x
    +
    y
    +
    13
    		)
    =
    0
  • (
    6
    x
    +
    y
    +
    13
    		)
    =
    0
  • (
    −
    x
    +
    4
    y
    −
    34
    		)
    =
    0
  • (
    7
    x
    +
    4
    y
    +
    13
    		)
    =
    0
Question 6
6.
    • Which of the following equations satisfy the given points
      • (
        (
        −
        2
        )
        ,
        153
        11
        )
      • ,
      • (
        (
        −
        1
        )
        ,
        139
        11
        )
      • ,
      • (
        0
        ,
        125
        11
        )
      • ,
      • (
        1
        ,
        111
        11
        )
      • ,
      • (
        2
        ,
        97
        11
        )
    • ?
  • (
    −
    14
    x
    −
    11
    y
    +
    15
    		)
    =
    0
  • x
    =
    5
  • y
    =
    (
    −
    14
    11
    x
    +
    125
    11
    		)
  • (
    14
    x
    +
    9
    y
    −
    7
    		)
    =
    0
  • x
    =
    (
    14
    11
    y
    −
    15
    11
    		)
Question 7
7.
The equation of x-axis is
  • y
    =
    x
  • x
    =
    0
  • y
    =
    0
  • y
    =
    1
  • x
    =
    1
Question 8
8.
    • Find the equation of the line through
    • (
      9
      ,
      2
      )
    • and x-intercept
    •  
    • 6
  • (
    −
    2
    x
    +
    3
    y
    +
    12
    		)
    =
    0
  • (
    −
    2
    x
    +
    5
    y
    +
    12
    		)
    =
    0
  • (
    4
    x
    +
    12
    y
    −
    54
    		)
    =
    0
  • (
    −
    3
    x
    +
    3
    y
    +
    12
    		)
    =
    0
  • (
    4
    x
    +
    9
    y
    −
    54
    		)
    =
    0
Question 9
9.
A line which is neither parallel to x-axis nor y-axis is
  • a horizontal line
  • an oblique line
  • a vertical line
  • a curved line
Question 10
10.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
  • y
    =
    k
  • x
    =
    0
  • x
    =
    y
  • x
    =
    k
  • y
    =
    0