Q. 5

Take a point which is 9 cm away from the centre of a circle of radius 3 cm, and draw the two tangents to the circle from that point.

Answer :

Radius of the circle = 3 cm

Distance of the point from the center = 9 cm.

The steps for construction are:

Step 1: With O as the center draw a circle of radius 3 cm.

Step 2: Mark a point P at a distance of 9 cm from O and join OP.

Step 3: Draw the perpendicular bisector of OP. Let it meet OP at M.

Step 4: With M as center and MO as radius, draw another circle.

Step 5: Let the two circles intersect at X and Y.

Step 6: Join PX and PY. They are required tangents.

Thus, this is the resulting figure.

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