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

CBSE Class 10 Maths PYQ · Circles · Tangents & All · 2 Marks · March 2025 · Standard

Solve it yourself first — then press ↓ or tap Show Solution. Use ← → for previous / next question.

262 Marks · March 2025 · Standard

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

Show SolutionHide Solution↓

Sol.
Tangents $l$ and $m$ are drawn at the end points A and B of the diameter AB of the circle
$\angle 1 = 90^{\circ}$, $\angle 2 = 90^{\circ}$
$\therefore \angle 1 = \angle 2$
But these are alternate interior angles.
$\therefore l \parallel m$