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Question

How many tangents can be drawn on the circle of radius 5 cm from a point lying outside the circle at distance 9 cm from the center.

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Solution

Number of tangents that can be drawn to a circle from a point lying outside the circle is two.
Since, distance between the center and the point (9 cm) is greater than the radius (5 cm), the point lies outside the circle. Hence, two tangents can be drawn on the circle.

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