Consider a family of circles which are passing through the point and are tangent to -axis

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

Problem

Consider a family of circles which are passing through the point

(-1, 1)

and are tangent to

X

-axis. If

(h, k)

are the coordinate of the centre of the circles, then the set of values of

k

is given by the interval (1)

-\frac{1}{2} \le k \le \frac{1}{2}

(2)

k \le \frac{1}{2}

(3)

0 \le k \le \frac{1}{2}

(4)

k \ge \frac{1}{2}