Mathematics

Mathematics

Problem

In the given figure, XP and XQ are two tangents to the circle with centre O, drawn from an external point X. RB is another tangent, touching the circle at R. Prove that XA+AR=XB+BRXA + AR = XB + BR. ![Diagram showing a circle with center O. XP and XQ are tangents from an external point X. RB is another tangent touching the circle at R. A is a point on XP and B is a point on XQ, such that A, R, and B are collinear.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/d041715577b94953bfa165d7a850b6c2/935eed7aa61f7777f62cfc032e11bee9_img.jpg)

Browse the problem library