Question

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

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Hi mate here is the answer :-✍️✍️✍️

Question:

Prove that the tangents to a circle at the end points of a diameter are parallel.

Answer:

To prove:

DE ∥ FG

Proof:

We know that tangent to a circle makes a right angle with the radius.

Let DE and FG be tangent at B and C respectively.

BC forms the diameter.

∴ ∠OBE = ∠OBD = ∠OCG = ∠OCF = 90°

Also, ∠OBD = ∠OCG and ∠OBE = ∠OCF as alternate angles

∴ DE and FG make 90° to same line BC which is the diameter.

Thus DE ∥ FG

Hope it helps you ❣️☑️☑️☑️