Consider the circle

MATHEMATICS · Single correct · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

Consider the circle

x^{2}+y^{2}=25

. The point

T(4,-3)

lies on the circle. The tangent to the circle at

T

meets the

x

-axis at point

P

. Determine the coordinates of

P

. (a)

\left(8,\,0\right)

(b)

\left(\dfrac{25}{3},\,0\right)

(c)

\left(\dfrac{25}{4},\,0\right)

(d)

(0,0)