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Find the Distance Between the Following Pair of Points: (-6, 7) and (-1, -5) - Mathematics

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प्रश्न

Find the distance between the following pair of points:

(-6, 7) and (-1, -5)

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उत्तर

The distance d between two points (x1, y1) and (x2, y2) is given by the formula.

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

The two given points are (-6, 7) and (-1, -5)

The distance between these two points is 

`d = sqrt((-6 + 1)^2 + (7 +5)^2)`

`= sqrt((-5)^2 + (12)^2)`

`= sqrt(25 + 144)`

`= sqrt(169)`

= d = 13

Hence the distance is 13 units

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अध्याय 6: Co-Ordinate Geometry - Exercise 6.2 [पृष्ठ १५]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 6 Co-Ordinate Geometry
Exercise 6.2 | Q 1.1 | पृष्ठ १५

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