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Question

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


Solution

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 BOX = 90 such that ray OX meets the circle at C.

4. Draw AMAB and CNOC. 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)

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