Coordinate Geometry Questions Practice Question and Answer

Q:

Find k, if the line 2x - 3y = 11 is perpendicular to the line 3x + ky = -4? 

2671 0

  • 1
    -1
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    -2
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 2. "2"

Q:

The point Q(a, b ) is first reflected in y-axis to Q1 and Q1 is reflected in x-axis to (-5,3 ). The co-ordinates of point Q are 

2036 0

  • 1
    (-5 , -3)
    Correct
    Wrong
  • 2
    ( - 5, 3 )
    Correct
    Wrong
  • 3
    ( 5 , -3 )
    Correct
    Wrong
  • 4
    ( 5, 3 )
    Correct
    Wrong
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Answer : 3. "( 5 , -3 )"

Q:

What is the equation of a line having slope -1/3 and y-intercept equal to 6? 

2013 0

  • 1
    x - 3y = 6
    Correct
    Wrong
  • 2
    x + 3 y = -18
    Correct
    Wrong
  • 3
    x + 3 y = 18
    Correct
    Wrong
  • 4
    x - 3y = -6
    Correct
    Wrong
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Answer : 3. "x + 3 y = 18 "

Q:

The area bounded by the lines x = 0, y = 0, x + y = 1, 2x + 3y = 6 (in square units) is 

1821 0

  • 1
    $$2{1\over2}$$
    Correct
    Wrong
  • 2
    3
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    $$2{1\over3}$$
    Correct
    Wrong
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Answer : 1. "$$2{1\over2}$$"

Q:

What is the equation of line whose slope is -1/2 and passes through the intersection of the lines x-y = -1 and 3x-2y = 0?

1814 0

  • 1
    x + 2y = -8
    Correct
    Wrong
  • 2
    3x + y = -7
    Correct
    Wrong
  • 3
    x + 2y = 8
    Correct
    Wrong
  • 4
    3x + y = 7
    Correct
    Wrong
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Answer : 3. "x + 2y = 8 "

Q:

Which of the following points lies on the line 5x + 4y = 2? 

1689 0

  • 1
    (-2,3)
    Correct
    Wrong
  • 2
    (2,-3)
    Correct
    Wrong
  • 3
    ( 2,3 )
    Correct
    Wrong
  • 4
    (-2,-3)
    Correct
    Wrong
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Answer : 1. "(-2,3) "

Q:

The graph of the equation 4x - 5y = 20 intersects the X-axis at the point.

1601 0

  • 1
    (2, 0)
    Correct
    Wrong
  • 2
    (4, 5)
    Correct
    Wrong
  • 3
    (5, 0)
    Correct
    Wrong
  • 4
    (0, 5)
    Correct
    Wrong
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Answer : 3. "(5, 0) "

Q:

A line passing through the origin perpendicularly cuts the line 3x – 2y = 6 at point M. Find the co-ordinates of M. 

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  • 1
    $$\left({-18\over13},{-12\over13} \right)$$
    Correct
    Wrong
  • 2
    $$\left({-18\over13},{12\over13} \right)$$
    Correct
    Wrong
  • 3
    $$\left({18\over13},{12\over13} \right)$$
    Correct
    Wrong
  • 4
    $$\left({18\over13},{-12\over13} \right)$$
    Correct
    Wrong
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Answer : 4. "$$\left({18\over13},{-12\over13} \right)$$"

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