Question

Draw a circle of radius 3.5 cm. Draw the tangents to the circle which are perpendicular to each other. [4 MARKS]

Answer 1

Construction : 3 Marks
Steps of construction : 1 Mark



Steps of construction :

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

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)