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Maharashtra State BoardSSC (English Medium) 9th Standard

If P - Q - R and d(P, Q) = 2, d(P, R) = 10, then find d(Q, R).

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Question

If P - Q - R and d(P, Q) = 2, d(P, R) = 10, then find d(Q, R).

Options

  • 12

  • 8

  • `sqrt(96)`

  • 20

MCQ
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Solution

8

Explanation:

Given that, Point Q is between point P and point R.

We have, d(P, Q) = 2; d(P, R) = 10

Now, d(P, R) = d(P, Q) + d(Q, R)

∴ d(Q, R) = d(P, R) - d(P, Q)

∴ d(Q, R) = 10 - 2

∴ d(Q, R) = 8

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Co-ordinates of Points and Distance
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Chapter 1: Basic Concepts in Geometry - Problem set 1 [Page 11]

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Balbharati Mathematics 2 [English] Standard 9 Maharashtra State Board
Chapter 1 Basic Concepts in Geometry
Problem set 1 | Q 1. (v) | Page 11

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