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JEE Main 202117 MarchMorning Shift

Exam: JEE Main
Year: 2021
Date: 17 March
Shift: Morning Shift
Subject: Mathematics
Chapter: Straight Lines

JEE Main 2021 · 17 March · Morning Shift · Mathematics · Straight Lines

In a triangle PQR, the co-ordinates of the points P and Q are (- 2,...

In a triangle

PQR,

the co-ordinates of the points

P and Q

are \left(- 2, 4\right)

and \left(4, - 2\right)

respectively. If the equation of the perpendicular bisector of

PR

is

2x - y + 2 = 0,

then the centre of the circumcircle of the

\delta PQR

is:

In a triangle PQR, the co-ordinates of the points P and Q are (- 2, 4) and (4, - 2) respectively. If the equation of

Options

A $\left(– 1, 0\right)$
B $\left(– 2, – 2\right)$
C $\left(0, 2\right)$
D $\left(1, 4\right)$

Correct answer

B. $\left(– 2, – 2\right)$

Step-by-step solution

In a triangle PQR, the co-ordinates of the points P and Q are (- 2, 4) and (4, - 2) respectively. If the equation of

Perpendicular bisector of $PR$ is $2x - y + 2 = 0$

Midpoint of $PQ$ is $M\left(1, 1\right)</p><p>Equation$ of perpendicular bisector ofPQ $is$ y = x $.</p><p>Point of intersection of equations$ PR and PQ $is circumcentre.</p><p>So, circumcentre is \left(- 2, - 2\right)</p>$

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