Geometry Practice Question and Answer

Q:

QR is the chord of a circle with center o. p is a point on major arc QR as shown in figure. What is the value of ∠QPR + ∠OQR?

8297 0

  • 1
    $$ {120^o}$$
    Correct
    Wrong
  • 2
    $$ {60^o}$$
    Correct
    Wrong
  • 3
    $$ {90^o}$$
    Correct
    Wrong
  • 4
    $$ {180^o}$$
    Correct
    Wrong
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Answer : 3. "$$ {90^o}$$"

Q:

One of the diagonals of a rhombus is 70% of the other diagonal, what is the ratio of area of rhombus to the square of the length of the larger diagonal? 

5355 0

  • 1
    7:20
    Correct
    Wrong
  • 2
    7:10
    Correct
    Wrong
  • 3
    3:10
    Correct
    Wrong
  • 4
    3:20
    Correct
    Wrong
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Answer : 1. "7:20 "

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?

4213 0

  • 1
    $$ {32\over \sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {64\sqrt{3}}$$
    Correct
    Wrong
  • 3
    $$ {32\sqrt{3}}$$
    Correct
    Wrong
  • 4
    $$ {24\sqrt{3}}$$
    Correct
    Wrong
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Answer : 4. " $$ {24\sqrt{3}}$$"

Q:

In the given figure, AB‖CD, find the value of x:

4124 0

  • 1
    x=8
    Correct
    Wrong
  • 2
    x=9
    Correct
    Wrong
  • 3
    x=8 or 9
    Correct
    Wrong
  • 4
    x=10
    Correct
    Wrong
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Answer : 3. " x=8 or 9"

Q:

In the given figure, PQRS is a square of side 20 cm and SR is extended to point T. If the length of QT is 25 cm, then what is the distance (in cm) between the centres O1 and O2 of the two circles?

3658 0

  • 1
    $$ 4{\sqrt{10}}$$
    Correct
    Wrong
  • 2
    $$ 5{\sqrt{10}}$$
    Correct
    Wrong
  • 3
    $$ 8{\sqrt{10}}$$
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 2. "$$ 5{\sqrt{10}}$$"

Q:

In the given Figure ∠PQA = 20° and ∠APQ = 120° then the find out the ∠ PAQ=?

3261 0

  • 1
    120 degree
    Correct
    Wrong
  • 2
    20 degree
    Correct
    Wrong
  • 3
    40 degree
    Correct
    Wrong
  • 4
    60 degree
    Correct
    Wrong
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Answer : 1. "120 degree"

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Answer : 2. "120"

Q:

Find the value of x in the given figure.

2958 0

  • 1
    40°
    Correct
    Wrong
  • 2
    50°
    Correct
    Wrong
  • 3
    55°
    Correct
    Wrong
  • 4
    90°
    Correct
    Wrong
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Answer : 2. "50°"

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