JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

1 Easy

1 of 1

Application +4 | -1

The centroid of a triangle lies at the origin and the coordinates of its two vertices are

(-8,7)

and

(9,4)

. The area of the triangle is

View answer and explanation

Correct option: B

285 / 2

Option B (285 / 2) is correct because the area of the triangle is thrice the area of the triangle formed by two vertices and the centroid.

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\alpha

(\alpha, 2 \alpha)

\Delta A B C

A(0,2), B(2,0)

C(4,4)

P

2 P A=3 P B

A

(0,0)

B

(4,-3)

(1, \sqrt{3}),(0,0)

(2,0)

(1,5),(-3,1) \,\&\,(-2,1)

9 x^2-16 y^2-18 x+32 y-23

=0

25 x^2+9 y^2-50 x-18 y+33=0

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(0,4)