• # question_answer A tangent ST at P to a circle at P is parallel to a chord QR of the circle. Which of the following is correct statement? A)  P is equidistant from the extremities of the chord. B)  PT is the tangent parallel to the chord PQ. C)  PT is the tangent parallel to the cord PR. D)  S is equidistant from the extremities of the chord.

$\therefore$                                 .....(1) (Angle between tangent and chord is equal to the angle in the alternate segment.) $\text{224}=\text{12}0\times \text{1}+\text{1}0\text{4}$                                      ......(2) (Alternate angles as $\text{12}0=\text{1}0\text{4}\times \text{1}+\text{16}$.) $\text{1}0\text{4}=\text{16}\times \text{6}+\text{8}$ $16=8\times 2+0$                                   ....... (2) [From statements 1 and 2.] $\text{256}=\text{8}\times \text{32}+0$ PQ = PR $3465={{3}^{2}}\times 5\times 7\times 11$ P is equidistant from Q and R, the extremities of the chord.