Consider the equation

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

4x^2 + 4y^2 - 16x + 24y + 36 = 0

. Which of the following is true? (a) It represents a circle with centre

(-2,3)

and radius

2

. (b) It does not represent a circle because coefficients of

x^2

and

y^2

are unequal. (c) It represents a circle with centre

(2,-3)

and radius

2

. (d) It represents a circle with centre

(2,-3)

and radius

4