Question

prove that the tangent drawn at the end of a diameter of a circle are parallel​

Answer 1

To prove: PQ||∣∣ RS

Given: A circle with centre O and diameter AB. Let PQ be the tangent at point A & Rs be the point B.

Proof: Since PQ is a tangent at point A.

OA⊥ PQ(Tangent at any point of circle is perpendicular to the radius through point of contact).

angle OQP=90^o∠OQP=90    …………(1)(1)

OB⊥ RS

angle OBS=90^o∠OBS=90   ……………(2)(2)

From (1)(1) & (2)(2)

angle OAP=angle OBS∠OAP=∠OBS

i.e., angle BAP=angle ABS∠BAP=∠ABS

for lines PQ & RS and transversal AB

angle BAP=angle ABS∠BAP=∠ABS i.e., both alternate angles are equal.

So, lines are parallel.

therefore PQ||RS.

Answer 2

Answer:

Question is Wrong!

1. The tangent drawn at the end of a daimeter is perpendicular not parallel