Coordinate Geometry Questions Practice Question and Answer

Q:

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

1574 0

  • 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. "$$\left({18\over13},{-12\over13} \right)$$"

Q:

What is the slope of the line perpendicular to the line passing through the points (-5, 1) and (-2, 0)? 

745 0

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

Q:

If (2, 0) is a solution of the linear equation 2x + 3y = 5, then the value of k is: 

932 0

  • 1
    2
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 2. "4 "

Q:

Point A (2, 1) divides segment BC in the ratio 2 : 3. Co-ordinates of B are (1, -3 ) and C are (4 , y). What is the value of y ? 

980 0

  • 1
    -8
    Correct
    Wrong
  • 2
    7
    Correct
    Wrong
  • 3
    8
    Correct
    Wrong
  • 4
    -7
    Correct
    Wrong
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Answer : 2. "7"

Q:

The length of the portion of the straight line 3x + 4y = 12 intercepted between the axes is : 

1096 0

  • 1
    4
    Correct
    Wrong
  • 2
    7
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 3. "5 "

Q:

The graph of 3x + 4y - 24 = 0 forms a triangle OAB with the coordinate axes, where O is the origin. Also, the graph of x + y + 4 = 0 forms a triangle OCD with the coordinate axes. Then the area of ∆ OCD is equal to: 

988 0

  • 1
    $${2\over3}$$ of area of ∆ OAB
    Correct
    Wrong
  • 2
    $${2\over5}$$ of area of ∆ OAB
    Correct
    Wrong
  • 3
    $${1\over2}$$ of area of ∆ OAB
    Correct
    Wrong
  • 4
    $${1\over3}$$ of area of ∆ OAB
    Correct
    Wrong
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Answer : 4. "$${1\over3}$$ of area of ∆ OAB"

Q:

For what value of k, the system of equations kx + 2y = 2 and 3x + y = 1 will be coincident? 

1068 0

  • 1
    5
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 2. "6"

Q:

Find the area of quadrilateral formed by joining points (4,2), (8,2), (8,14) and (4,10). 

1225 0

  • 1
    25 Sq. units
    Correct
    Wrong
  • 2
    40 Sq. units
    Correct
    Wrong
  • 3
    5 Sq. units
    Correct
    Wrong
  • 4
    10 Sq. units
    Correct
    Wrong
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Answer : 2. "40 Sq. units"

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