Mark a point P outside the circle of radius 6 cm with centre O. Construct the two tangents to the circle from P which is at the distance of 9 cm from centre. Measure the length of the tangents.

4.7 cm

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5.7 cm

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7.7 cm

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6.7 cm

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Solution

The correct option is B
5.7 cm

A circle with centre O and radius 4 cm is drawn.

A point P is taken 7 cm from O.

O is joined with P.

OP is bisected at C.

Taking C as centre ad OC as radius a circle is drawn which intersect the previous circle at T and T’.

PT and PT’ are joined which is the required tangents. PT = PT’ = 5.7 cm (approx.)

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