Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 35

EASY

CAT

IMPORTANT

Earn 100

Any two of the four triangles formed by joining the mid-points of the sides of a given triangle are:

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Important Questions on Geometry

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 36

The internal bisector of

∠ B

and

∠ C

of

△ A B C

meet at O. If

∠ A = 80^{0}

, then

∠ B O C

is-

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 37

The point in the plane of a triangle which is at equal perpendicular distance from the sides of the triangle is:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 38

Incentre of a triangle lies in the interior of?

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 39

In a triangle

PQR, PQ = 20 cm

and

PR = 6 cm,

the side

QR

is:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 40

The four triangles formed by joining the pairs of mid-points of the sides of a given triangle are congruent if the given triangle is:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 42

In a

∆ ABC,

a line

PQ

parallel to

BC

cuts

AB

at

P

and

AC

at

Q .

If

BQ

bisects

∠ PQC,

then which one of the following relation is always true:

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 43

Which of the following is true, in the given figure, where

AD

is the altitude to the hypotenuse of a right angled

∆ ABC ?

(i)

ΔCAD

and

∆ ABD

are similar
(ii)

ΔCDA

and

∆ ADB

are congruent
(iii)

∆ ADB

and

ΔCAB

are similar

EASY

CAT

IMPORTANT

Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 44

If

D

is such a point on the side

BC

of

∆ ABC

that

\frac{AB}{AC} = \frac{BD}{CD},

then

AD

must be a/an: