Question

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

Answer 1

Answer:

Read this excerpt from A Black Hole Is NOT a Hole.

Reber had just one little problem. To explore the radio energy, he needed a radio telescope—a telescope that could detect invisible radio energy—but there was no such thing at the time. So he invented one. He built it in his backyard in Wheaton, Illinois. Late into the night, Reber probed the sky with his new telescope, using it to locate the source of the mysterious radio energy.

This excerpt makes a connection between

Answer 2

Answer:

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).

∠OQP=90

o

…………(1)

OB⊥ RS

∠OBS=90

o

……………(2)

From (1) & (2)

∠OAP=∠OBS

i.e., ∠BAP=∠ABS

for lines PQ & RS and transversal AB

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

So, lines are parallel.

$$\therefore PQ||RS.