JEE Main 2021 — Circle Question with Solution
From: JEE Main 2021 (Online) 26th February Evening Shift
Question
Let A(1, 4) and B(1, 5) be two points. Let P be a point on the circle
(x 1)2 + (y 1)2 = 1 such that (PA)2 + (PB)2 have maximum value, then the points, P, A and B lie on :
(x 1)2 + (y 1)2 = 1 such that (PA)2 + (PB)2 have maximum value, then the points, P, A and B lie on :
Choose an option
Show full solutionCorrect option: A
Correct answer
Aa straight line
Step-by-step explanation
P be a point on
so
A(1, 4), B(1, 5)
It is maximum if
When
So P(1, 2), A(1, 4), B(1, 5)
P, A, B are collinear points.
so
A(1, 4), B(1, 5)
It is maximum if
When
So P(1, 2), A(1, 4), B(1, 5)
P, A, B are collinear points.
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Circle chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →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.