JEE Main 2021MathematicsCircleHardMCQ

JEE Main 2021 — Circle Question with Solution

JEE Main 2021 (18 Mar Shift 1)

Question

For the four circles M, N, O and P, following four equations are given:

Circle M : x2+y2=1

Circle N : x2+y2-2x=0

Circle O : x2+y2-2x-2y+1=0

Circle P : x2+y2-2y=0

If the centre of circle M is joined with centre of the circle N, further centre of circle N is joined with centre of the circle O, centre of circle O is joined with the centre of circle P and lastly, centre of circle P is joined with centre of circle M, then these lines form the sides of a

Choose an option

Show full solutionCorrect option: B
Correct answer
BSquare

Step-by-step explanation

M : x2+y2=1 center=0, 0

N : x2+y2-2x=0, center=1, 0

O : x2+y2-2x-2y+1=0, center=1, 1

P : x2+y2-2y=0, center=0, 1

MN=1-02+0-02=1

NO=1-12+0-12=1

OP=1-02+1-12=1

PM=0-12+1-12=1

Then, all the sides are equal of a quadrilateral then MNOP is a square. 

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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.