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MathematicsCircleMiscellaneous/MixedHard2 minPYQ_2021
MathematicsHardsingle choice

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

Question diagram: For the four circles M , N , O and P , following four equati

Options:

Answer:
B
Solution:

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. 

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Miscellaneous/Mixed
2mℹ️ Source: PYQ_2021

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