Geometry Practice Question and Answer

Q:

The maximum number of common tangents drawn to two circles when both the circles touch each other externally is 

1122 0

  • 1
    3
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    1
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 1. "3 "

Q:

Find the area of the largest triangle made in a semicircle of r cm radius?

1122 0

  • 1
    $$ {2r \ cm^{2}}$$
    Correct
    Wrong
  • 2
    $$ {r^{2} \ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {2\ cm^{2}}$$
    Correct
    Wrong
  • 4
    $$ {1\over 2}{r^{2}}\ {cm^{2}}$$
    Correct
    Wrong
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Answer : 2. "$$ {r^{2} \ cm^{2}}$$"

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:

1116 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:

In ΔABC, ∠C=90° and CD is perpendicular to AB at D. If AD/BD=$$ {\sqrt{k}}$$, then AC/BC=?

1108 0

  • 1
    $$ {\sqrt{k}}$$
    Correct
    Wrong
  • 2
    $$ {1\over{\sqrt{k}}}$$
    Correct
    Wrong
  • 3
    $$ {^4\sqrt{k}}$$
    Correct
    Wrong
  • 4
    k
    Correct
    Wrong
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Answer : 3. "$$ {^4\sqrt{k}}$$"

Q:

In any triangle ABC, AB + BC = 12 cm, BC + CA = 14 cm and CA + AB = 18 cm. What will be length of radius of a circle, if the perimeter of circle is equal to the perimeter of triangle ABC? 

1108 0

  • 1
    2 cm
    Correct
    Wrong
  • 2
    3.5 cm
    Correct
    Wrong
  • 3
    1.5 cm
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "3.5 cm "

Q:

ABCD is a trapezium in which AB is parallel to CD and AB = 4 ( CD ) . The diagonals of the trapezium intersects at O. what is the ratio of area of triangle DCO to the area of the triangle ABO ?

1107 0

  • 1
    1 : 4
    Correct
    Wrong
  • 2
    1 : 2
    Correct
    Wrong
  • 3
    1 : 8
    Correct
    Wrong
  • 4
    1:16
    Correct
    Wrong
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Answer : 4. "1:16 "

Q:

O is the orthocentre of ΔABC. If ∠BOC=110°, ∠BAC is equal to

1105 0

  • 1
    90°
    Correct
    Wrong
  • 2
    70°
    Correct
    Wrong
  • 3
    80°
    Correct
    Wrong
  • 4
    110°
    Correct
    Wrong
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Answer : 2. "70°"

Q:

If the circumradius of an equilateral triangle ABC is 8 cm, then what is the height of the triangle?

1105 0

  • 1
    16 cm
    Correct
    Wrong
  • 2
    6 cm
    Correct
    Wrong
  • 3
    8 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 4. "12 cm"

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