Geometry Practice Question and Answer

Q:

In the given figure, TP and TQ are tangent. If ∠ PAQ=50° then find the value of ∠ PTQ.

1373 0

  • 1
    80°
    Correct
    Wrong
  • 2
    70°
    Correct
    Wrong
  • 3
    100°
    Correct
    Wrong
  • 4
    90°
    Correct
    Wrong
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Answer : 1. "80°"

Q:

In the given figure, ABCD is a square inscribed in a circle of radius 4 cm. CD is produced till point E. From E a tangent is drawn to the circle at point B.  What is the length (in cm) of AE?

1369 0

  • 1
    $$ {8\sqrt{10}}$$
    Correct
    Wrong
  • 2
    $$ {6\sqrt{10}}$$
    Correct
    Wrong
  • 3
    $$ {4\sqrt{10}}$$
    Correct
    Wrong
  • 4
    $$ {3\sqrt{10}}$$
    Correct
    Wrong
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Answer : 3. "$$ {4\sqrt{10}}$$"

Q:

If the angles of a triangle are in the ratio of 2:3:7, then find the ratio of the greatest angle to the smallest angle.

1365 0

  • 1
    7:2
    Correct
    Wrong
  • 2
    2:3
    Correct
    Wrong
  • 3
    7:1
    Correct
    Wrong
  • 4
    3:5
    Correct
    Wrong
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Answer : 1. "7:2 "

Q:

D, E, F are the mid - points of the sides BC, CA and AB respectively of a ΔABC. Then the ratio of the areas of DEF and ΔABC is D, E, F.

1358 0

  • 1
    $$ {1\over2}$$
    Correct
    Wrong
  • 2
    $$ {1\over3}$$
    Correct
    Wrong
  • 3
    $$ {1\over4}$$
    Correct
    Wrong
  • 4
    $$ {1\over5}$$
    Correct
    Wrong
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Answer : 3. "$$ {1\over4}$$"

Q:

If ∆ABC is an isosceles triangle with ∠C = 90° and AC = 5 cm then AB is : 

1357 0

  • 1
    5√2 cm
    Correct
    Wrong
  • 2
    2.5 cm
    Correct
    Wrong
  • 3
    5 cm
    Correct
    Wrong
  • 4
    10 cm
    Correct
    Wrong
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Answer : 1. "5√2 cm "

Q:

If two complementary angles are in the ratio of 2:3. find the ratio of square of smaller angle to square of greater?

1345 0

  • 1
    3:2
    Correct
    Wrong
  • 2
    9:11
    Correct
    Wrong
  • 3
    4:5
    Correct
    Wrong
  • 4
    4:9
    Correct
    Wrong
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Answer : 4. "4:9 "

Q:

In a regular polygon, the exterior and interior angles are in the ration 1:4.The number of sides of the polygon is

1344 0

  • 1
    5
    Correct
    Wrong
  • 2
    10
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 2. "10"

Q:

Diagonals of a Trapezium ABCD with AB‖CD intersect each other at the point O. If AB=2CD, then the ratio of the areas of ΔAOB and ΔCOD is

1342 0

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

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