In a CAD package, mirror image of a 2D point P (5, 10) is to be obtained about a line which passes through the origin and makes an angle of 45° counterclockwise with the X-axis. The coordinates of the transformed point will be

(a) (7.5, 5)

(b) (10, 5)

(c) (7.5, -5)

(d) (10, -5)

This question was addressed to me in an interview for internship.

My query is from Computer Aided Analysis for Four Bar Mechanism in section Computer Aided Analysis and Synthesis of Mechanisms of Machine Dynamics