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If P (1, 2), Q (4, 6), R (5, 7) and S (a, b) are the vertices of a parallelogram PQRS, then

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Important Questions on Geometrical Shapes

EASY

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

An arc length of

16 π

units subtends an angle of

240

degrees. Find the radius (in unit) of the circle.

EASY

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

How many tangents can be drawn to two circles, whose radii are equal to

4 c m

and

5 c m

respectively and the distance between the two centres is

5 c m

EASY

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

Find the perimeter (in

c m

) of a semicircle of radius

7 c m

HARD

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

The two circles with radii $6 c m$ and $3 c m$ centred at the point $P$ and $Q$ respectively. A transverse common tangent $A C$ to the both circles cuts line Joining $P$ and $Q$ at the point $B$ such that $A B = 8 c m$ . Calculate the length (in cm.) of $P Q$ .

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Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

The exterior angle of a regular polygon is

72 °

. What would be the sum of all its interior angles?

EASY

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

△ A B C,

the measure of angle

∠ A B C

90 °

. If

tan A = \frac{12}{5},

and

A B = 1 c m

, then what is the length (in

c m

) of side

B C ?

EASY

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

The length of one side and the diagonal of a rectangle are

10 cm

and

26 cm

respectively. Find the length of the other side (in

cm

EASY

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

Which among the following statements are certainly correct?

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Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

$5 : 18$ is the ratio of the length and perimeter of a rectangle. What would be the ratio of its length and breadth?

MEDIUM

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

∆ A B D

C

is the midpoint of

B D

. If

A B

= 10

cm, AD

= 12

cm and

A C

= 9

cm, then

B D = ?

MEDIUM

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

The angle subtended by the chord of length

10 cm

120 °

at the centre. Calculate the distance of the chord (in

cm

) from the centre.

EASY

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

If the interior angle of a regularpolygon is $108 °$ , then it is a-

1. Octagon

2. Hexagon

3. Pentagon

4. Tetragon

EASY

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

If the measure of the interior angle of a regular polygon is

108^{0}

, then how many sides does It have?

EASY

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

The area of an equilateral triangle is

18 \sqrt{3}

sq. units. Find the value of the side (in units) of the triangle.

EASY

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

The side of an equilateral triangle is

10 c m

. Find its area (in

c m^{2}

MEDIUM

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

What is the area (in

{cm}^{2}

) of the rhombus having side as

20 cm

and one of the diagonal as

24 cm

EASY

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

The circle of radius

4 c m

and centre

O

has a tangent

P R

. If

∠ P O R = 90^{o}

and

O R = 7 c m

and

O P = 24 c m

. Calculate the length (in

c m

.) of

P R

EASY

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

The distance between the centres of two circles having radii

5 c m

and

6 c m

\sqrt{10} c m

. Find the length (in

c m

) of direct common tangent.

MEDIUM

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

If the length of a rectangle is decreased by

5

metres and breadth increased by

3

metres, its area decreases by

9 m^{2}

. If its length is increased by

3 m

and breadth by

2 m

, its area increases by

67

m^{2}

. What is the length of the rectangle ?

EASY

Numerical and Mental Ability Test>Geometry>Geometrical Shapes>2D Geometrical Shapes

A hall is

15 m

long and

12 m

broad. The sum of the areas of the floor and the ceiling is?(in square meters).

If P (1, 2), Q (4, 6), R (5, 7) and S (a, b) are the vertices of a parallelogram PQRS, then

Important Questions on Geometrical Shapes

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