English

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 ______.

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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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Chapter 8: Circles - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 504]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 8 Circles
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 37. | Page 504
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