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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

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

Grade:12

1 Answers

Riddhish Bhalodia
askIITians Faculty 434 Points
8 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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