Question

Tangents drawn at the end points of the diameter of a circle are

• A. Parallel
• B. Perpendicular
• C. Intersecting
• D. None

Answer 1

The correct option is A Parallel

Here AB is a diameter of the circle with centre O, two tangents PQ and RS drawn at points A and B respectively.

Radius will be perpendicular to these tangents.

Thus, OA ⊥ RS and OB ⊥ PQ

$\angle OAR=\angle OBP=\angle OBQ={90}^0$

Therefore,

$\angle OAR=\angle OBQ$ (Alternate interior angles)

$\angle OAS=\angle OBP$ (Alternate interior angles)

Since alternate interior angles are equal, lines $PQ$ and $RS$ will be parallel.