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Question
In fig., PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA ⊥ PB, then the length of each tangent is:
In fig., PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA ⊥ PB, then the length of each tangent is:
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Solution
The correct option is D 4 cm
AP ⊥ PB (Given)
CA ⊥ AP, 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.
4 cm
AP ⊥ PB (Given)
CA ⊥ AP, 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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