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.

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$T_{1} T_{2}$

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$T_{1} Q a n d T_{2} Q$

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None of these

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Solution

The correct option is B
$T_{1} T_{2}$

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.

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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.

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