Question

The pair of tangents are drawn from an external point to a cicle. 2 radii are also drawn from the point of contact of those tangents to the centre. Then the quadrilateral formed by the tangents and the radii can always be inscribed in a circle.

• A. True
• B. False

Answer 1

The correct option is A

True

Let's draw a circle, the external point and the pair of tangents to the circle.

Here we can see that $\angle PQO$ and $\angle PRO$ are right angled since radius always meet tangent at right angle. Hence if we draw a circle with PO as the diameter then the circle will pass through Q and R. This is possible since we know that the diameter always makes right angles to any point on the circle.