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Line through the points (-2,6) and (4,80...

Line through the points (-2,6) and (4,80 is perpendicular to the line through the points (8,12) and `(x , 24)dot` Find the value of `xdot`

Text Solution

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Let points be A `(-2,6)`, B`(4,8)`, C`(8,12)` and D`(x, 24)`
If two lines are perpendicular, then product of their slope is -1
So, Slope of A B times Slope of `C D=-1` ……..(1)
We know that slope of a line through the points `(x_1, y_1)`,`(x_2, y_2)` is `m`=`frac(y_2-y_1)(x_2-x_1)`
Slope of line A B passing through A(-2,6) and B(4,8) is ...
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