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Find the distance between the following points: A(3, –4) and B(7, 0) - Mathematics

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प्रश्न

Find the distance between the following points:

A(3, –4) and B(7, 0)

बेरीज
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उत्तर

Given: A(3, –4) and B(7, 0)

Use the distance formula

`d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`

x2 – x1 = 7 – 3

= 4

y2 – y1 = 0 – (–4)

= 4

`d = sqrt(4^2 + 4^2)`

= `sqrt(16 + 16)`

= `sqrt(32)`

= `4sqrt(2)`

The distance AB = `4sqrt(2)` 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. (vi) | पृष्ठ ४०४
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