The equations of the sides AB, BC and CA of a triangle ABC are: 2x + y = 0, x + py = 21a, (a ≠ 0) and x - y = 3 respectively. Let P(2, a) be the centroid of triangle ABC. Then (BC)^2 is equal to

The equations of the sides AB, BC and CA of a triangle ABC… — JEE Main 2023 Mathematics PYQ

JEE Main 2023 · 24 Jan · Shift 2 · numerical answer

The equations of the sides AB, BC and CA of a triangle ABC are:

2x + y = 0

x + py = 21a

(a \neq 0)

and

x - y = 3

respectively. Let

P(2, a)

be the centroid of

\triangle ABC

. Then

(BC)^2

is equal to

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Answer: 122

[JEE Main 2023 · 24 Jan · Shift 2]

Practise Straight Lines and Pair of Lines the way it is asked

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