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In the given figure, QR is a common tangent to the given circles, touching externally at the point T. The tangent at T meets QR at P.

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In the given figure, QR is a common tangent to the given circles, touching externally at the point T. The tangent at T meets QR at P. If PT= 3.8 cm then the length of QR is 

(a) 1.9 cm (b) 3.8 cm (c) 5.7 cm (d) 7.6 cm 

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(d) 7.6 cm 

We know that tangent segments to a circle from the same external point are congruent. 

Therefore, we have

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