हिंदी

From the information given below, find which of the point is between the other two. If the points are not collinear, state so. d(D, E) = 5, d(E, F) = 8, d(D, F) = 6 - 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(D, E) = 5,   d(E, F) = 8,   d(D, F) = 6

योग

उत्तर

We have, 

d(D, E) = 5, d(E, F) = 8, d(D, F) = 6

Now,

5 + 8 = 13, so 5 + 8 ≠ 6;

8 + 6 = 14, so 8 + 6 ≠ 5

and 5 + 6 = 11, so 5 + 6 ​≠ 8

Since, the sum of the distances between two pairs of points is not equal to the distance between the third pair of points, so the given points D, E and F are non-collinear.

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अध्याय 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
अध्याय 1 Basic Concepts in Geometry
Practice set 1.1 | Q 3. (vi) | पृष्ठ ५
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