A circle is centred at the origin and has radius 5 units

MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles

Problem

A circle is centred at the origin and has radius 5 units. For which value(s) of k will the point (k,\,3) admit exactly one tangent to the circle? (a)

k = 4\,\text{only}

(b)

|k|>4

(c)

k = 4 \text{ or } -4

(d) No real value of

k