Question

In the figure PQ and PR are tangents to the circle with centre ‘O’. If , shown that PQOR is a square.

Answer 1

It is given that

We know that the lengths of tangents drawn from an external point to a circle are equal.

PQ = PR … (1)

We know that the radius is perpendicular to the tangent at the point of contact.

∴

In quadrilateral OQPR:

∴ … (2)

From (1) and (2), it can be concluded that PQOR is a square.