Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 100

EASY

CAT

IMPORTANT

Earn 100

What is the ratio of inradius to the circumradius of a right angled triangle?

50% studentsanswered this correctly

Important Questions on Geometry

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 101

In a

∆ ABC, AC = BC .

Point

D

lies on

BC

such that

CD = AD = AB

Find

∠ ACB .

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 102

In

∆ ABC, AD

is the angle bisector of

AB

and a median to

BC .

If

AC = 15 cm,

find

AB .

MEDIUM

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 103

In a

∆ ABC, \frac{(∠ BAC)}{(∠ ACB)} = \frac{1}{2}

and

AC = 4 cm, BC = 6 cm

. Find

AB .

MEDIUM

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 104

In a

∆ ABC, BD

is the angle bisector of

∠ ABC

and

E

is a point on

AB

such that

ED = AD

and

\frac{(BD) (BC)}{CD} = \frac{(BE) (AB)}{AE}

. If

∠ A + ∠ C = 66 °,

what is the value of

∠ A - ∠ C ?

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CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 105

Find the area of an isosceles triangle

ABC

in which

∠ ABC = 120 °

and each of the smaller side is

1

unit.

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 106

If

O

is the incentre of a triangle

ABC

and c

∠ AOC = 124 ° .

find the

∠ ABC .

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 107

The following diagram depicts the right angle triangle $ABC,$ where line segments $AD$ and $CE$ are the medians intersecting at a point $F .$ Find the ratio of the area of $∆ AEF$ to that of quadrilateral $BEFD .$

Question Image

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IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 2

Find the measure of largest angle of a quadrilateral if the measures of its interior angles are in the ratio of

3 : 4 : 5 : 6

.