Question

To draw a pair of tangents to a circle which are at right angles to each other, it is required to draw tangents at end points of two radii which are inclined at an angle of?

• A. ${60}^{\circ }$
• B. ${90}^{\circ }$
• C. ${120}^{\circ }$
• D. ${45}^{\circ }$

Answer 1

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

Clearly from the figure, by joining radii to both the point of contact, we get quadrilateral & the sum of opposite angles of a quadrilateral is $180°$

Since, $\theta ={90}^{\circ }$

Angle between the radii $={180}^{\circ }-{90}^{\circ }={90}^{\circ }$