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Find the distance between the following points: A(–6, 4) and B(2, –2) - Mathematics

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प्रश्न

Find the distance between the following points:

A(–6, 4) and B(2, –2)

बेरीज
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उत्तर

Given: A(–6, 4) and B(2, –2)

Step-wise calculation:

1. Distance formula: `d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`

2. Substitute coordinates: `d = sqrt((2 - (-6))^2 + (-2 - 4)^2`

3. `d = sqrt(8^2 + (-6)^2`

4. `d = sqrt(64 + 36)`

5. `d = sqrt(100) = 10`

The distance AB = 10 units.

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पाठ 19: Co-ordinate Geometry: An Introduction - Exercise 19D [पृष्ठ ४०४]

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नूतन Mathematics [English] Class 9 ICSE
पाठ 19 Co-ordinate Geometry: An Introduction
Exercise 19D | Q 1. (i) | पृष्ठ ४०४
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