Coordinate Geometry Questions Practice Question and Answer

Q:

Find the coordinates of the point which divides the line segment joining (3,5) (7,9) in the ratio 2: 3.

794 0

  • 1
    $$ {23\over 5}, {33\over5}$$
    Correct
    Wrong
  • 2
    $$ {10\over 3}, {14\over3}$$
    Correct
    Wrong
  • 3
    $$ {23\over 3}, {33\over5}$$
    Correct
    Wrong
  • 4
    $$ {23\over 7}, {33\over7}$$
    Correct
    Wrong
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Answer : 1. "$$ {23\over 5}, {33\over5}$$"

Q:

Find the distance between the point (-6, 7) and the point (-1, -5).

904 0

  • 1
    12
    Correct
    Wrong
  • 2
    13
    Correct
    Wrong
  • 3
    10
    Correct
    Wrong
  • 4
    3
    Correct
    Wrong
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Answer : 2. "13"

Q:

The slope of the line joining point P(-4, 7) and Q( 2, 3) is:

922 0

  • 1
    $$ -{2\over 3}$$
    Correct
    Wrong
  • 2
    $$ {2\over 3}$$
    Correct
    Wrong
  • 3
    $$ -{3\over 2}$$
    Correct
    Wrong
  • 4
    $$ {3\over 2}$$
    Correct
    Wrong
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Answer : 1. "$$ -{2\over 3}$$"

Q:

Find the equation of the line that passing through the point (7, -5 ) and is perpendicular to  the line (4x+5y=1).

745 0

  • 1
    4x-5y=33
    Correct
    Wrong
  • 2
    5x+4y=15
    Correct
    Wrong
  • 3
    5x-4y=55
    Correct
    Wrong
  • 4
    4x+5y=33
    Correct
    Wrong
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Answer : 3. "5x-4y=55"

Q:

The line passing through the point (-2,5) and  (6,b) is perpendicular to the line 20x + 5y = 3. Find b?

1500 0

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

Q:

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

2032 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:

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

2689 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:

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?

1838 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 "

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