JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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Application +4 | -1

If the vertices of a triangle be

\left(a m_{1}^{2}, 2 a m_{1}\right),\left(a m_{2}^{2}, 2 a m_{2}\right)

and

\left(a m_{3}^{2}, 2 a m_{3}\right)

, then the area of the triangle is

View answer and explanation

Correct option: C

a^{2}\left(m_{2}-m_{3}\right)\left(m_{3}-m_{1}\right)\left(m_{1}-m_{2}\right)

Option C (

a^{2}\left(m_{2}-m_{3}\right)\left(m_{3}-m_{1}\right)\left(m_{1}-m_{2}\right)

) is correct because it is the result of calculating the area of the triangle using the determinant formula.

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