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Question

Draw two concentric circles of radii 3 cm and 5 cm. Taking a point on the outer circle, construct the pair of tangents to the inner circle.

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Solution

Steps of construction of tangents:-
Step 1:
Take a point O and draw two concentric circles of radii 3 cm and 5 cm respectively.

Step 2:
Locate a point P on the circumference of larger circle.

Step 3:
Join OP and bisect it . Let M be the midpoint of OP.

Step 4:
Taking M as centre and MP(or MO) as radius,draw a circle intersecting smaller circle at A and B.

Step 5:
Join PA and PB .Thus PA and PB are the required tangents.






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