Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

Find the area of triangle whose vertices are $(3, 2), (- 2, - 3) and (2, 3)$ .

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

5 sq unit

3 sq unit

6 sq unit

4 sq unit

answer is A.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given vertices of the triangles are

3, 2, − 2, − 3, 2, 3

.
We know that,
The area of a triangle, whose vertices are

A x 1, y 1, B x 2, y 2, C x 3, y 3

is given by

a r Δ A B C = 12 x 1 y 2 − y 3 + x 2 y 3 − y 1 + x 3 y 1 − y 2 sq unit

.
Here,

x 1 = 3, x 2 = − 2, x 3 = 2, y 1 = 2, y 2 = − 3, and y 3 = 3

.
Then,

a r Δ A B C = 12 3 − 3 − 3 + (− 2) 3 − 2 + 2 2 − (− 3) ⇒ a r Δ A B C = 12 − 18 − 2 + 10 ⇒ a r Δ A B C = 5 sq unit

Therefore, the area of the triangle is 5 sq unit.
Hence, option (1) is correct.

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test