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The line joining the points (x ,2x)a n d...

The line joining the points `(x ,2x)a n d(3,5)` makes an obtuse angle with the positive direction of the x-axis. Then find the values of `xdot`

Text Solution

Verified by Experts

The correct Answer is:
`xin(5//2,3)`
The slope joining points `A(x,2x)` and `B(3,5)` is `(2x-5)//(x-3)` if AB makes an angle `theta` with the positive direction of the x-axis, then
`tan theta=(2x-5)/(x-3)`
Since, `theta` is obtuse, `tanthetalt0`
or `(2x-5)/(x-3)lt0`
or `x in ((5)/(2),3)`
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