QJEEM21Ma3340: JEE Main 2021 Mathematics - Class 11 JEEM21Ma3340 Solution: In a triangle PQR, the co-ordinates of the points P and Q are ( …

Question

Verified Solution • 2025–26 Session moderate

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

-

2, 4) and (4,

-

2) respectively. If the equation of the perpendicular bisector of PR is 2x

-

y + 2 = 0, then the centre of the circumcircle of the

Δ

PQR is :

Accepted Answer

Mid point of

P Q \equiv (\frac{- 2 + 4}{2}, \frac{4 - 2}{2}) \equiv (1, 1)

Slope of

P Q = \frac{4 + 2}{- 2 - 4} = - 1

Slope of perpendicular bisector of PQ = 1

Equation of perpendicular bisector of PQ

y - 1 = 1 (x - 1)

\Rightarrow y = x

Solving with perpendicular bisector of PR,

2x

-

y + 2 = 0

Circumcentre is (

-

2,

-

2)

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