Question

Let P₁, P₂, P₃, P₄, P₅ be five equally spaced points on the circumference of a circle of radius 1, centred at O. Let R be the set of points in the plane of the circle that are closer to O than any of P₁, P₂, P₃, P₄, P₅. Then, R is a

(a) circular region

(b) pentagonal region

(c) rectangular region

(d) oval region that is not circular

Answer 1

Answer is : (b) pentagonal region

P₁, P₂, P₃, P₄, P₅ be five equally spaced points on the circumference of circle of radius 1.

Let R which is near to point O.

∴ OR is lie between the pentagonal region Q₁, Q₂, Q₃, Q₄, Q_5.