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Question

Draw a tangent to the circle from the point L, with radius 2.8 cm .Point L is at a distance 5 cm from the centre M.

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Solution

Steps of construction:
1. Draw a circle of radius 2.8 cm with centre M. Take a point L such that ML = 5 cm.
2. Obtain the midpoint R of seg ML.
3. Draw a circle taking RM as the radius.
4. Let P and Q be the points of intersection of these two circles.
5. Draw rays LP and LQ which are the required tangents.

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