Geometry Practice Question and Answer

Q:

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

1438 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:

The midpoints of AB and AC of a triangle ABC are X and Y respectively. If BC + XY = 12 units, then BC – XY is:

1435 0

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

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.

1422 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:

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?

1421 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:

The largest and the smallest angles of a triangle are in the ratio of 3:1 respectively. The second largest angle of the triangle is equal to 56°. What is the value of largest angle of the triangle?

1413 0

  • 1
    49
    Correct
    Wrong
  • 2
    129
    Correct
    Wrong
  • 3
    123
    Correct
    Wrong
  • 4
    93
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 4. "93"

Q:

If the angles of a triangle are in the ratio of 1:4:7, then find the ratio of the greatest angle to the smallest angle.

1411 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 : 3. "7:1"

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

1409 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"

Q:

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

1406 0

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

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