Question

Draw a circle of radius 3.5 cm. Draw the tangents to the circle which are perpendicular to each other.

Answer 1

Steps of construction :

1. Draw a circle with $O$ as center and radius $=3.5cm.$

2. Draw any diameter $AOB$ of this circle.

3. Construct $\angle$ BOX = ${90}^{\circ }$ such that ray $OX$ meets the circle at $C$.

4. Draw $AM\perp AB$ and $CN\perp OC$. Let $AM$ and $CN$ intersect each other at a point $P$.

5. Then, $PA$ and $PC$ are the required tangents (which are perpendicular to each other)