If a circle passes through the point and touches and

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

Problem

If a circle passes through the point

\left(3, \sqrt{\frac{7}{2}}\right)

and touches

x + y = 1

and

x - y = 1

, then the centre of the circle is (1)

(4, 0)

(2)

(4, 2)

(3)

(6, 0)

(4)

(7, 9)