SSC Advanced Maths Volume - I>Chapter 1 - Geometry>Previous Years Questions>Q 8

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If the radius of the circumcircle of an equilateral triangle is $10 cm$ , then what will be the radius of the incircle inscribed in it?

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Important Questions on Geometry

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SSC Advanced Maths Volume - I>Chapter 1 - Geometry>Previous Years Questions>Q 9

In the

∆ ABC

the medians

CD

and

BE

intersect each other at point

O

then the ratio of the area of

∆ ODE

and

∆ ABC

will be:

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SSC Advanced Maths Volume - I>Chapter 1 - Geometry>Previous Years Questions>Q 10

Point

O

is the centroid of

∆ ABC

and

AD, BE

and

CF

are its medians. If area of

∆ AOE = 15 {cm}^{2}

, then the area of quadrilateral

BDOF

is:

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SSC Advanced Maths Volume - I>Chapter 1 - Geometry>Previous Years Questions>Q 11

The radii of two concentric circles are

9 cm

and

15 cm

. If a chord of the bigger circle is tangent on the smaller circle then the length of that chord is:

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SSC Advanced Maths Volume - I>Chapter 1 - Geometry>Previous Years Questions>Q 12

Point

O

and

C

are the orthocentre and the circumcentre of an actute angle triangle

PQR

respectively. When points

P

and

O

are joined and produced it intersects side

QR

at point

S

. If

∠ PQS = 60 °

and

∠ QCR = 130 °

, then

∠ RPS

is:

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SSC Advanced Maths Volume - I>Chapter 1 - Geometry>Previous Years Questions>Q 13

The length of a chord of a circle is equal to its radius. The value of the angle subtended by this chord at the centre of the circle is:

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SSC Advanced Maths Volume - I>Chapter 1 - Geometry>Previous Years Questions>Q 14

In

∆ ABC, AD

is the internal bisector of

∠ A

and it meets with side

BC

at point

D

. If

BD = 5 cm, BC = 7.5 cm

, then

AB : AC

is:

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SSC Advanced Maths Volume - I>Chapter 1 - Geometry>Previous Years Questions>Q 15

A chord of circle with radius

5 cm

is the tangent to a circle with radius

3 cm

long. If these two circles are concentric, then the length of that chord is:

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SSC Advanced Maths Volume - I>Chapter 1 - Geometry>Previous Years Questions>Q 16

Point

O

is the incentre of

ΔABC

and

∠ A = 30 °

. Then value of

∠ BOC

is: