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Question
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 ______.

Options
1.9 cm
3.8 cm
5.7 cm
7.6 cm
MCQ
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Solution
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 7.6 cm.
Explanation:

PQ = PT = 3.8 cm
PR = PT = 3.8 cm
QR = PQ + PR
= (3.8 + 3.8) cm
= 7.6 cm
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