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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

From the information given below, find which of the point is between the other two. If the points are not collinear, state so. d(A, B) = 16, d(C, A) = 9, d(B, C) = 7 - Geometry

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प्रश्न

From the information given below, find which of the point is between the other two. If the points are not collinear, state so.

d(A, B) = 16,  d(C, A) = 9,   d(B, C) = 7

बेरीज

उत्तर

We have, d(A, B) = 16; d(C, A) = 9; d(B, C) = 7

Now, d(C, A) + d(B, C) = 9 + 7 

Or, d(A, C) + d(C, B) = 16

∴ d(A, B) = d(A, C) + d(C, B)

Hence, the points A, C and B are collinear.

The point C is between A and B i.e., A-C-B.

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पाठ 1: Basic Concepts in Geometry - Practice set 1.1 [पृष्ठ ५]

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बालभारती Geometry (Mathematics 2) [English] 9 Standard Maharashtra State Board
पाठ 1 Basic Concepts in Geometry
Practice set 1.1 | Q 3. (iii) | पृष्ठ ५
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