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Grade 12Algebra

Let P1,P2, P3, P4, P5 be equally space points on circumference of a circle of radius 1cm centered at O. Let R be set of points in plane of a circle that are closer to O than any of P1, P2, P3, P4, P5. Then R is a A) circular region. B) rectangular C) pentagonal D) oval

Profile image of Abhishek Sharma
10 Years agoGrade 12
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1 Answer

Profile image of Riddhish Bhalodia
10 Years ago
It will be a circular region
you can verify this by construction
1) Find points which lie on the perpendicular from O to P1P2 such that say N1
st ON1 = PN1 = PN2
2) Also find mid points of OP1’s say M1’s

the boundary should cover all the N’s and M’s which will form a circle

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