The length of tangents from and to a circle are and respectively

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

Problem

The length of tangents from

P(1, -1)

and

Q(3, 3)

to a circle are

\sqrt{2}

and

\sqrt{6}

respectively, then the length of tangent from

R(-2, -7)

to the same circle is (1)

\sqrt{41}

(2)

\sqrt{51}

(3)

\sqrt{61}

(4)

\sqrt{71}