Question

Prove that the tangents drawn at the end of a diameter of a circle are parallel.​

Answer 1

Answer:

Step-by-step explanation:

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

\angle OQP=90^o∠OQP=90  

o

 …………(1)(1)

OB\perp⊥ RS

\angle OBS=90^o∠OBS=90  

o

 ……………(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.

PLS MARK AS BRAINLIEST!!!!!!!!!!!!!!

Answer 2

only answer is this

Step-by-step explanation:

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