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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

CP and CQ are tangents to a circle with centre at 0. ARB is another tangent touching the circle at R. If CP = 11 cm and BC = 7 cm, then the length of BR is - Mathematics

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Question

CP and CQ are tangents to a circle with centre at 0. ARB is another tangent touching the circle at R. If CP = 11 cm and BC = 7 cm, then the length of BR is

Options

  • 6 cm

  • 5 cm

  • 8 cm

  • 4 cm

MCQ

Solution

4 cm

Explanation;

Hint:

BQ = BR = 4 cm ...(Tangent of the circle)

PC = QC = 11 cm ...(Tangent of the circle)

QC = 11 cm

QB + BC = 11

QB + 7 = 11

QB = 11 – 7 = 4 cm

BR = BQ = 4 cm

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Circles and Tangents
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Chapter 4: Geometry - Exercise 4.5 [Page 200]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 4 Geometry
Exercise 4.5 | Q 14 | Page 200
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