Question

2 tangents $P{T}_1$ and $P{T}_2$ are drawn as shown in the figure and PQ passes through the centre O of the circle. Which segment(s) is/are the chord of contact of P.

• A. RQ
• B.
• C.
• D. None of these

Answer 1

The correct option is B

By definition of the chord of contact, it's the line joining the contact points of 2 tangents on the circle from the external point P. i.e., $T_1{T}_2$ is the chord of contact of the point P. For this, P has to be external, so that tangents can be drawn.

The limiting case is when P comes closer and situates on the circle itself when the chord of contact becomes the tangent of the circle itself at that point.