Xavier Aptitude Test 2023 Paper

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Question : 63 of 102

Marks: +1, -0

A B C

is a triangle and the coordinates of

A, B

and

C

are

(a, b-2 c),(a, b+4 c)

and

(-2 a, 3 c)

respectively where

a

,

b

and

c

are positive numbers.
The area of the triangle

A B C

is:

6abc
9abc
6 bc
9ac
None of the above

Solution:

The length of

{\AB}=(b+4 c)-(b-2 c)=6 c

(X-coordinates of A\&B are same).
The altitude of triangle

A B C, C D=a-(-2 a)=3 a

.
Area of triangle

A B C=\;{A B × C D}/{2}=\;{6 c × 3 a}/{2}=9 a c

Option (D) is correct.

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