Geometry Practice Question and Answer

Q:

The area of a triangle with vertices A (0, 8), O (0, 0), and B (5, 0) is :

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  • 1
    8 sq. units
    Correct
    Wrong
  • 2
    13 sq. units
    Correct
    Wrong
  • 3
    20 sq. units
    Correct
    Wrong
  • 4
    40 sq. units
    Correct
    Wrong
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Answer : 3. "20 sq. units "

Q:

In ∆ABC, AD is the internal bisector of ∠A, meeting the side BC at D. If BD = 5 cm, BC = 7.5 cm, then AB : AC is 

1762 0

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

Q:

The sides of a triangle are 56 cm, 90 cm and 106 cm. The circumference of its circumcircle is:

1762 0

  • 1
    108 π
    Correct
    Wrong
  • 2
    112 π
    Correct
    Wrong
  • 3
    106 π
    Correct
    Wrong
  • 4
    109 π
    Correct
    Wrong
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Answer : 3. "106 π"

Q:

Rectangle ABCD is formed in a circle with centre D. IF AE=6 cm and AD=9 cm, then find the perimeter of the rectangle.

1752 0

  • 1
    42 cm
    Correct
    Wrong
  • 2
    45 cm
    Correct
    Wrong
  • 3
    48 cm
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 1. "42 cm"

Q:

In the given figure ABC is an equilateral triangle. Two circles of radius 4 cm and 12 cm are inscribed in the triangle. What is the side (in cm) of an equilateral triangle?

1738 0

  • 1
    $$ {10{\sqrt{3}}}$$
    Correct
    Wrong
  • 2
    $$ {14{\sqrt{3}}}$$
    Correct
    Wrong
  • 3
    24
    Correct
    Wrong
  • 4
    $$ {24{\sqrt{3}}}$$
    Correct
    Wrong
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Answer : 4. "$$ {24{\sqrt{3}}}$$"

Q:

The length of two chords AB and AC of a circle are 8 cm and 6 cm and ∠BAC=90º, then the radius of circle is

1734 0

  • 1
    25 cm
    Correct
    Wrong
  • 2
    20 cm
    Correct
    Wrong
  • 3
    4 cm
    Correct
    Wrong
  • 4
    5 cm
    Correct
    Wrong
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Answer : 4. "5 cm"

Q:

An exterior angle of a regular polygon is 72o. The sum of all the interior angles is -

1712 0

  • 1
    $$520^o$$
    Correct
    Wrong
  • 2
    $$540^o$$
    Correct
    Wrong
  • 3
    $$360^o$$
    Correct
    Wrong
  • 4
    $$480^o$$
    Correct
    Wrong
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Answer : 2. "$$540^o$$"

Q:

 In the given figure, BO and CO are the bisector of ∠CBD and ∠BCE respectively ∠A=40°, then ∠BOC is equal to:

1679 0

  • 1
    60°
    Correct
    Wrong
  • 2
    65°
    Correct
    Wrong
  • 3
    75°
    Correct
    Wrong
  • 4
    70°
    Correct
    Wrong
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Answer : 4. "70°"
Explanation :

$$∠BOC =90°-{∠A\over2}$$

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