Geometry Questions and answer Practice Question and Answer

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 

1269 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: In a rhombus ABCD, ∠A=60º and AB=12 cm. Then the diagonal BD is: 1264 0

  • 1
    2√3 cm
    Correct
    Wrong
  • 2
    6cm
    Correct
    Wrong
  • 3
    12cm
    Correct
    Wrong
  • 4
    10cm
    Correct
    Wrong
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Answer : 3. "12cm"

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?

1236 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 the chord of a circle is 8 cm and perpendicular distance between center and the chord is 3 cm. Then the radius of the circle is equal to:

1232 0

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

Q:

O and C are respectively the orthocentre and the circumcentre of an acute angled triangle POR. The points P and O are joined and produced to meet the side QR at S. If ∠POS=600 and ∠QCR = 130°, then ∠RPS = ?

1221 0

  • 1
    30°
    Correct
    Wrong
  • 2
    35°
    Correct
    Wrong
  • 3
    100°
    Correct
    Wrong
  • 4
    60°
    Correct
    Wrong
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Answer : 2. "35° "

Q:

In the figure below, O of the circle is the centre. OA = 3 cm, AC = 3 cm and OM is perpendicular to AC. So the value of ∠ABC will be

1206 0

  • 1
    30°
    Correct
    Wrong
  • 2
    60°
    Correct
    Wrong
  • 3
    120°
    Correct
    Wrong
  • 4
    45°
    Correct
    Wrong
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Answer : 1. "30°"

Q:

Find the value of ∠x in the given figure.

1201 0

  • 1
    120°
    Correct
    Wrong
  • 2
    100°
    Correct
    Wrong
  • 3
    105°
    Correct
    Wrong
  • 4
    110°
    Correct
    Wrong
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Answer : 2. "100°"
Explanation :

According to Diagram OA=OB and OA=OC Radius of a circle

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.

1196 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"

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