Find the Distance Between the Points (A, B) and (−A, −B). - Mathematics

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Sum

Find the distance between the points (a, b) and (−a, −b).

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Solution

Using distance formula:
d = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2 )`

Here, x1 = a, y1 = b, x2 = - a and y2 = - b
On substituting the values in the formula we get

= `sqrt(( - a - a)^2 + ( - b - b)^2)`

= `sqrt((- 2a)^2 + (-2b)^2)`

= `sqrt( 4a^2 + 4b^2)`

= `2sqrt(a^2 + b^2 )`
Therefore, the distance between (a, b) and (a,b) is `2sqrt(a^2 + b^2 )`.

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2018-2019 (March) 30/4/3

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