Points P, Q and the centre of the circle O lies on a straight line. P, Q are both outside the circle. When chords of contact of P and Q are drawn to the circle they are found to coincide. Whats the distance between P and Q?

2R or 0

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At an unknown value between 2R and 4R

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$\infty o r 0$

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Solution

The correct option is D
$\infty o r 0$

Lets draw the circle and 2 points P, Q.

AB is chord of contact of P and CD is chord of contact of Q . When P and Q goes away from O the distance of the chord from center decreases and approaches the center O. And finally reaches xy when P and Q are at infinity.

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Points P, Q and the centre of the circle O lies on a straight line. P, Q are both outside the circle. When chords of contact of P and Q are drawn to the circle they are found to coincide. Whats the distance between P and Q?

The correct option is D ∞ or 0 Lets draw the circle and 2 points P, Q. AB is chord of contact of P and CD is chord of contact of Q . When P and Q goes away from O the distance of the chord from center decreases and approaches the center O. And finally reaches xy when P and Q are at infinity.