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Find the distance between the following pairs of point. W (-72,4), X (11, 4) - Geometry Mathematics 2

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Question

Find the distance between the following pairs of point.

W `((- 7)/2 , 4)`, X (11, 4)

Sum

Solution

Let the co-ordinates of point W are (x1, y1) and of point X are (x2, y2)

`((-7)/2,4)` = (x1, y1)

(11, 4) = (x2, y2)

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

= `sqrt((11-(-7/2))^2+(4-4)^2`

= `sqrt((11+7/2)^2+0)`

= `(11 + 7/2)`

= `11/1+7/2`

= `(22+7)/2`

= `29/2`

= 14.5

∴ Distance between points W and X is 14.5.

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Chapter 5: Co-ordinate Geometry - Practice Set 5.1 [Page 107]

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