Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Practice Problems Level 2>Q 1

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$ABC$ is a right angled triangle. $AD$ is perpendicular to the hypotenuse $BC$ . If $AC = 2 AB$ , then the value of $BD$ is:

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Important Questions on Geometry

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Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Practice Problems Level 2>Q 2

In

∆ ABC, AD

is drawn perpendicular from

A

on

BC

. If

{AD}^{2} = BD CD

, then

∠ BAC

is:

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Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Practice Problems Level 2>Q 3

In a triangle

ABC

, the lengths of the sides

AB, AC

and

BC

are

3, 5

and

6 cm

respectively. If a point

D

on

BC

is drawn such that the line

AD

bisects the

∠ A

internally, then what is the length of

BD

?

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Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Practice Problems Level 2>Q 4

In a triangle ABC,∠A = 90^oand D is mid-point of AC. The value of BC²-BD² is equal to

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Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Practice Problems Level 2>Q 5

If in a triangle

A B C, D

and

E

are on the sides of

A B

and

A C

, such that

D E

is parallel to

B C

and

\frac{A B}{B D} = \frac{3}{5}

. If

A C = 4 cm

, then

A E

is:

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Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Practice Problems Level 2>Q 6

In

∆ ABC

, If

AD ⊥^{r} BC

, then

{AB}^{2} + {CD}^{2}

is equal to:

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Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Practice Problems Level 2>Q 7

In a triangle

ABC, AB + BC = 12 cm, BC + CA = 14 cm and CA + AB = 18 cm

. Find the radius of the circle (in cm) which has the same perimeter as the triangle.

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Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Practice Problems Level 2>Q 8

In a

∆ ABC, D

and

E

are two points on

AB

and

AC

respectivel such that

DE ‖ BC, DE

bisects the

∆ ABC

, in two equal areas Then the ratio

DB : AB

is:

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Quantitative Aptitude for Competitive Examinations>Chapter 34 - Geometry>Practice Problems Level 2>Q 9

D

and

E

are the mid-points of

A B

and

A C

of

A B C; B C

is produced to any point

P; D E, D P

and

E P

are joined. Then,