Geometry Practice Question and Answer

Q:

If the circumradius of an equilateral triangle ABC be 8 cm, then the height of the triangle is 

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  • 1
    8 cm
    Correct
    Wrong
  • 2
    12 cm
    Correct
    Wrong
  • 3
    16 cm
    Correct
    Wrong
  • 4
    6 cm
    Correct
    Wrong
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Answer : 2. "12 cm "

Q:

If ∆ABC is an isosceles triangle with ∠C = 90° and AC = 5 cm then AB is : 

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  • 1
    5√2 cm
    Correct
    Wrong
  • 2
    2.5 cm
    Correct
    Wrong
  • 3
    5 cm
    Correct
    Wrong
  • 4
    10 cm
    Correct
    Wrong
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Answer : 1. "5√2 cm "

Q:

The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then, it is always true that 

1848 0

  • 1
    AP . BP = CP . DP
    Correct
    Wrong
  • 2
    AP . CD = AB . CP
    Correct
    Wrong
  • 3
    BP . AB = CD . CP
    Correct
    Wrong
  • 4
    AP . CP = BP . DP
    Correct
    Wrong
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Answer : 4. "AP . CP = BP . DP "

Q:

In triangle ABC a straight line parallel to BC intersects AB and AC at D and E respectively. If AB = 2AD then DE : BC is

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

Q:

The distance between the center of two equal circles each of radius 3 cm, is 10 cm. The length of a transverse common tangent is 

1842 0

  • 1
    4 cm
    Correct
    Wrong
  • 2
    10 cm
    Correct
    Wrong
  • 3
    8 cm
    Correct
    Wrong
  • 4
    6 cm
    Correct
    Wrong
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Answer : 3. "8 cm "

Q:

G is the centroid of ΔABC. The medians AD and BE intersect at right angles. If the lengths of AD and BE are 9 cm and 12 cm respectively; then the length of AB (in cm) is?

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  • 1
    11
    Correct
    Wrong
  • 2
    10
    Correct
    Wrong
  • 3
    10.5
    Correct
    Wrong
  • 4
    9.5
    Correct
    Wrong
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Answer : 2. "10"

Q:

(2x + 4) and (x - 1) are the angle pairs of angles of measurement, then their measurement will be

1835 0

  • 1
    40°, 140°
    Correct
    Wrong
  • 2
    50°, 130°
    Correct
    Wrong
  • 3
    54°, 126°
    Correct
    Wrong
  • 4
    122°, 58°
    Correct
    Wrong
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Answer : 2. "50°, 130°"

Q:

The length of the common chord of two intersecting circles is 24 cm. If the diameter of the circles are 30 cm and 26 cm, then the distance between the center (in cm) is 

1834 0

  • 1
    15
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    13
    Correct
    Wrong
  • 4
    14
    Correct
    Wrong
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Answer : 4. "14 "

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