Question

In the given figure, AC is a tangent to the circle with centre 'O'.

The measure of $\angle ACO$ is

• A. ${90}^{\circ }$
• B. ${60}^{\circ }$
• C. ${30}^{\circ }$
• D. less than ${90}^0$

Answer 1

The correct option is A ${90}^{\circ }$

The tangent at any point on the circle is perpendicular to the radius through the point of contact.
Here, OC is radius and AC is tangent of that circle
$\therefore OC\perp AC.$
$\Rightarrow \angle ACO={90}^{\circ }$