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Circles

Question
CBSEENMA10009734

In fig., PA and PB are two tangents drawn from an external point P to a circlewith centre C and radius 4 cm. If PA PB, then the length of each tangent is

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Solution

B.

4

AP PB      (Given)CAAP,  CB  BP  (Since radius is perpendicular to tangent)AC= CB= radius of the circle
Therefore, APBC is a square having side equal to 4 cm.
Therefore, length of each tangent is 4 cm.

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