The equation is intended to represent a circle of radius

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The equation

k x^{2} + k y^{2} - 4x + 6y + 1 = 0

is intended to represent a circle of radius

3

. (i) Find the possible value(s) of

k

for which this holds true. (ii) For each valid value of

k

, write the corresponding centre of the circle.