Geometry Practice Question and Answer

Q:

Triangle PQR is inscribed in the circle whose radius is 14 cm . If PQ is the diameter of the circle and PR =10 cm , then what is the area of the triangle ? 

1062 0

  • 1
    196
    Correct
    Wrong
  • 2
    $$ {30{\sqrt{19}}}$$
    Correct
    Wrong
  • 3
    $$ {40\over 17}$$
    Correct
    Wrong
  • 4
    $$ {35{\sqrt{21}}}$$
    Correct
    Wrong
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Answer : 2. "$$ {30{\sqrt{19}}}$$"

Q:

If the area of a circle is 9π sq.cm then it circumference is

1059 0

  • 1
    9 cm
    Correct
    Wrong
  • 2
    6 π cm
    Correct
    Wrong
  • 3
    3π cm
    Correct
    Wrong
  • 4
    6 cm
    Correct
    Wrong
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Answer : 2. "6 π cm"

Q:

PAB and PCD are two secants to a circle . If PA 10 cm , AB = 12 cm and PC = 11 cm , then what is the value ( in cm ) of PD ?

1059 0

  • 1
    18
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    20
    Correct
    Wrong
  • 4
    12
    Correct
    Wrong
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Answer : 3. "20 "

Q:

A secant PAB is drawn from an external point P to the circle with centre O, intersecting it at A and B. If OP = 17 cm, PA = 12 cm and PB = 22.5 cm, then the radius of the circle is:

1051 0

  • 1
    $$ 2\sqrt {3} \ $$ cm
    Correct
    Wrong
  • 2
    $$ \sqrt {19} \ $$ cm
    Correct
    Wrong
  • 3
    $$ \sqrt {17} \ $$ cm
    Correct
    Wrong
  • 4
    $$ 3\sqrt {3} \ $$ cm
    Correct
    Wrong
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Answer : 2. " $$ \sqrt {19} \ $$ cm"

Q:

In △PQR, ∠P = 90°. S and T are the mid points of sides PR and PQ, respectively. What is the value of RQ2/(QS2+ RT2)?

1050 0

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

Q:

A circle with radius 42 cm is drawn. What will be length of arc of a sector subtending an angle of 60 degrees at the Centre?

1046 0

  • 1
    44 cm
    Correct
    Wrong
  • 2
    22 cm
    Correct
    Wrong
  • 3
    66 cm
    Correct
    Wrong
  • 4
    88 cm
    Correct
    Wrong
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Answer : 1. "44 cm"

Q:

G is the centroid of a triangle ABC, and the median is AD, the ratio of AD and GA is

1044 0

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

Q:

Each side of an equilateral triangle is 4 cm. What will be its area?

1043 0

  • 1
    $$ {2\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {4\sqrt{3}}$$
    Correct
    Wrong
  • 3
    30
    Correct
    Wrong
  • 4
    64
    Correct
    Wrong
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Answer : 2. "$$ {4\sqrt{3}}$$"

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