Geometry Practice Question and Answer

Q:

In a circle, PQ is diameter, RS is chord of length equal to radius of circle. PR and QS when produced intersect at point T. Find the ∠PTQ?

813 0

  • 1
    90°
    Correct
    Wrong
  • 2
    60°
    Correct
    Wrong
  • 3
    45°
    Correct
    Wrong
  • 4
    55°
    Correct
    Wrong
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Answer : 2. "60°"

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.

1204 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?

4220 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, 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?

3660 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, PQR is an equilateral triangle with side as 12 cm. S and T are the midpoints of the sides PQ and PR respectively. What is the area (in cm²) of the shaded region?

992 0

  • 1
    $$ {16\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {12\sqrt{3}}$$
    Correct
    Wrong
  • 3
    $$ {18\sqrt{3}}$$
    Correct
    Wrong
  • 4
    $$ {12\sqrt{2}}$$
    Correct
    Wrong
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Answer : 2. "$$ {12\sqrt{3}}$$"

Q:

In the given figure , ABCD is a square of side 6 cm. What is the value (in cm) of radius of circle?

1500 0

  • 1
    4.55
    Correct
    Wrong
  • 2
    4.25
    Correct
    Wrong
  • 3
    3.5
    Correct
    Wrong
  • 4
    3.75
    Correct
    Wrong
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Answer : 4. "3.75"

Q:

What is the area (in cm²) of the circumcircle of a triangle whose sides are 6 cm, 8 cm and 10 cm respectively?

847 0

  • 1
    2200/7
    Correct
    Wrong
  • 2
    550/7
    Correct
    Wrong
  • 3
    275/7
    Correct
    Wrong
  • 4
    400/7
    Correct
    Wrong
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Answer : 2. "550/7"

Q:

In a trapezium, one diagonal divides the other in the ratio 2 :9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?

1448 0

  • 1
    5
    Correct
    Wrong
  • 2
    10
    Correct
    Wrong
  • 3
    18
    Correct
    Wrong
  • 4
    14
    Correct
    Wrong
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Answer : 2. "10"

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