Question

Tangents drawn at the end points of a diameter are

(a) Perpendicular

(b) Parallel

(c) Intersecting

(b) None of these

Answer 1

Correct option is (b) 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

∠OAR=∠OBP=∠OBQ=900

Therefore,

∠OAR = ∠OBQ (Alternate interior angles)

∠OAS = ∠OBP (Alternate interior angles)

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