Q3 of 49 Page 1

In Fig. 2, 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 find the length of each tangent.

MVV.png


Fig. 2

In the given fig.2, After joining AC and BC, we find that ACBP is a square.

CNVNVN.png


As CA and CB are radii of circle


∴ ∠ CBP = ∠ CAP = 90°


[∵ radius of a circle is always ⊥ to the tangent at the point of contact.]


Thus, Length of each Tangent = Radius of Circle = 4 cm.


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