JEE Main 2021MathematicsCircleMediumMCQ

JEE Main 2021 — Circle Question with Solution

JEE Main 2021 (26 Feb Shift 2)

Question

Let A1,4 and B1,-5 be two points. Let P be a point on the circle x-12+y-12=1, such that PA2+PB2 have maximum value, then the points, P, A and B lie on

Choose an option

Show full solutionCorrect option: B
Correct answer
Ba straight line

Step-by-step explanation

P be a point on x-12+y-12=1, so P1+cosθ,1+sinθ.

Given A1,4 & B1,-5

PA2+PB2

=cosθ2+sinθ-32+cosθ2+sinθ+62

=47+6sinθ is maximum if sinθ=1

⇒sinθ=1,cosθ=0

P1,2, A1,4, B1,-5

 The points P, A and B lie on the line x=1.

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About this question

This is a previous-year question from JEE Main 2021, covering the Circle chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.