Geometry Practice Question and Answer

Q:

ABCD is a rhombus whose one angle is 60°.Find the ratio of the lengths of its diagonal?

1021 0

  • 1
    $$ {\sqrt{3}:1}$$
    Correct
    Wrong
  • 2
    1 : 1
    Correct
    Wrong
  • 3
    $$ {\sqrt{2}:1}$$
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "1 : 1"

Q:

In △ABC, M and N are the points on side BC such that AM ⊥ BC, AN is the bisector of ∠A, and M lies between B and N. If ∠B = 68°, and ∠C=26°, then the measure of ∠MAN is:

1018 0

  • 1
    21°
    Correct
    Wrong
  • 2
    28°
    Correct
    Wrong
  • 3
    24°
    Correct
    Wrong
  • 4
    22°
    Correct
    Wrong
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Answer : 1. "21°"

Q:

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

1017 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:

If the ratio of the measurement of the four angles of a quadrilateral is 1: 2: 3: 4, then the measurement of its smallest angle is-

1015 0

  • 1
    120°
    Correct
    Wrong
  • 2
    36°
    Correct
    Wrong
  • 3
    100°
    Correct
    Wrong
  • 4
    18°
    Correct
    Wrong
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Answer : 2. "36°"

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 ? 

1014 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:

In ΔABC, ∠C=90° and D is a point on CB such that AD is the bisector of ∠A. If AC=5 cm and BC=12 cm, then what is the length of AD?

1014 0

  • 1
    $$ {10\over 3}{cm}$$
    Correct
    Wrong
  • 2
    $$ {5\sqrt{13}\over 6}{ \ cm}$$
    Correct
    Wrong
  • 3
    $$ {5\sqrt{13}\over 3}{ \ cm}$$
    Correct
    Wrong
  • 4
    $$ {20\over 3} {\ cm}$$
    Correct
    Wrong
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Answer : 3. "$$ {5\sqrt{13}\over 3}{ \ cm}$$"

Q:

If the area of a circle, inscribed in a equilateral triangle is 4 π cm2, then what is the area of the triangle?

1011 0

  • 1
    $$ {12\sqrt{3}\ cm^{2}}$$
    Correct
    Wrong
  • 2
    $$ {9\sqrt{3}\ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {8\sqrt{3}\ cm^{2}}$$
    Correct
    Wrong
  • 4
    $$ {18\ cm^{2}}$$
    Correct
    Wrong
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Answer : 1. "$$ {12\sqrt{3}\ cm^{2}}$$ "

Q:

ΔABC and ΔDBC are on the same base BC but on opposite sides of it. AD and BC intersect each other O. If AO=a cm, DO=b cm and the area of ΔABC= x cm2, then what is the area (in cm2) of ΔDBC?

1009 0

  • 1
    $${ab\over 2}{x}$$
    Correct
    Wrong
  • 2
    $${a\over b}{x}$$
    Correct
    Wrong
  • 3
    $${b\over a}{x}$$
    Correct
    Wrong
  • 4
    $${a+b\over2}{x}$$
    Correct
    Wrong
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Answer : 3. "$${b\over a}{x}$$"

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