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Two parallel straight lines are inclined...

Two parallel straight lines are inclined to the horizon at an angle `prop`. A particle is projected from a point mid way between them so as to graze one of the lines and strikes the other at right angle. Show that if `theta` is the angle between the direction of projection and either of lines, then `tan theta = (sqrt(2 - 1)) cot prop`.

Text Solution

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The correct Answer is:
`tan^(-1) [ sqrt3-1)cot theta] + theta`
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