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The figure shown below consists of the tangents at the extremities of any chord. Choose the CORRECT option given below.

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Important Questions on Geometrical Shapes

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General Test>Quantitative Reasoning>Geometrical Shapes>2D Geometrical Shapes

Find the perimeter (in

c m

) of a semicircle of radius

7 c m

EASY

General Test>Quantitative Reasoning>Geometrical Shapes>2D Geometrical Shapes

In the given diagram, point R and Q are on PS. ÐPQT = x°, ÐRQT = (x – 50)° and ÐTUR = (x + 25°). find the value of ÐURS.

Question Image

EASY

General Test>Quantitative Reasoning>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

General Test>Quantitative Reasoning>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.

MEDIUM

General Test>Quantitative Reasoning>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

General Test>Quantitative Reasoning>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

General Test>Quantitative Reasoning>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.

EASY

General Test>Quantitative Reasoning>Geometrical Shapes>2D Geometrical Shapes

The side of an equilateral triangle is

10 c m

. Find its area (in

c m^{2}

MEDIUM

General Test>Quantitative Reasoning>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

General Test>Quantitative Reasoning>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 = ?

EASY

General Test>Quantitative Reasoning>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?

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General Test>Quantitative Reasoning>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

MEDIUM

General Test>Quantitative Reasoning>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

General Test>Quantitative Reasoning>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

General Test>Quantitative Reasoning>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 ?

HARD

General Test>Quantitative Reasoning>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 $P Q$ .

Question Image

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General Test>Quantitative Reasoning>Geometrical Shapes>2D Geometrical Shapes

Which among the following statements are certainly correct?

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General Test>Quantitative Reasoning>Geometrical Shapes>2D Geometrical Shapes

Read the given question and decide which of the following information is sufficient to answer the question.

What is the value of 0?

Information :

Question Image

(II) 0 < q < 90°

MEDIUM

General Test>Quantitative Reasoning>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

General Test>Quantitative Reasoning>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).

The figure shown below consists of the tangents at the extremities of any chord. Choose the CORRECT option given below.

Important Questions on Geometrical Shapes

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