Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Exam Problems>Q 10

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If $G$ be the centroid of $∆ A B C$ and the area of $∆ G B D$ is $6 {cm}^{2}$ , where $D$ is the midpoint of the side $B C$ , then the area of $∆ A B C$ will be-

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Important Questions on Geometry

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Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Exam Problems>Q 11

D

is any point on side

AC

of

∆ ABC

. If

P, Q, X, Y

are the mid points of

AB, BC, AD

and

DC

respectively, then the ratio of

PX

and

QY

is:

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Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Exam Problems>Q 12

If for

∆ A B C

and

∆ D E F

, the correspondence

C A B \leftrightarrow E D F

gives a congruence, then which of the following is not true?

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Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Exam Problems>Q 13

In

∆ A B C, D E ‖ A C, D

and

E

are two points on

A B

and

C B

respectively. If

A B = 10

and

A D = 4

cm, then

B E : C E

is :---.

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Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Exam Problems>Q 14

The length of the common chord of two circles of radii

30 cm

and

40 cm

whose centres are

50 cm

apart is:

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Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Exam Problems>Q 15

Chords

AB

and

CD

of a circle intersect at

E

and are perpendicular to each other. Segments

AE; EB

and

ED

are of lengths

2 cm, 6 cm

and

3 cm

respectively. Then the length of the diameter of the circle (in

cm

) is

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Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Exam Problems>Q 17

If each angle of a triangle is less than the sum of the other two, then the triangle is :

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Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Exam Problems>Q 18

If

O

be the circumcentre of a triangle

PQR

and

QOR = 110 ° ∠ OPR = 25 °

, then the measure of

∠ PRQ

is:

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Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Exam Problems>Q 19

In

∆ ABC, ∠ A = ∠ B = 60 °, AC = \sqrt{13}

. The lines

AD

and

BD

intersect at

D

with

∠ D = 90 °

, if

DB = 2 cm

, then the length of

AD

is: