JEE Main 2017MathematicsCircleHardMCQ

JEE Main 2017 — Circle Question with Solution

JEE Main 2017 (08 Apr Online)

Question

If a point P0,-2 and Q is any point on the circle, x2+y2-5x-y+5=0, then the maximum value of PQ2 is

Choose an option

Show full solutionCorrect option: C
Correct answer
C14+53

Step-by-step explanation

Given circle x2+y2-5x-y+5=0
⇒x-522+y-122=32
On circle Q=(52+32cosθ,12+32sinθ)

PQ2=52+32cos⁡θ​2+52+32sin⁡θ​2

PQ2=252+32+532cosθ​+sinθ​

=14+532cos⁡θ​+sin⁡θ​

∴Maximum value of PQ2=14+5322

=14+53.

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About this question

This is a previous-year question from JEE Main 2017, 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.