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P1, P2 are points on either of the two l...

`P_1, P_2` are points on either of the two lines `y- sqrt(3) |x| =2` at a distance of 5 units from their point of intersection. Find the coordinates of the foot of perpendiculars drawn from `P_1, P_2` on the bisector of the angle between the given lines.
Thinking Process : Here, equation `y- sqrt(3) |x| =2` represents two different lines for `x gt 0 and x lt 0` and they are bisector of Y -axis. `P_1 and P_2` are points at a distance 5 unit from point of intersection. The y coordinate of the foot of perpendicular on Y-axis is `2+5 cos ( 30^(@) ) `.

Text Solution

Verified by Experts

The correct Answer is:
`D= ( 0,2 + ( 5sqrt5)/( 2) )`
OR
`(0,(4+ 5 sqrt(3) )/( 2))`
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