`P_1, P_2` are points on either of the two line `y-sqrt(2)|x|=2` at a distance of `5` units from their point intersection. Find the coordinatesof the foot of perpendiculars drawn from `P_1, P_2` on the bisector of the angle between the given lines.

Explanation

Given line are:



`y-sqrt{3} x=2`



and `y+sqrt{3} x=2 ldots` (ii)


Clearly, lines intersect at `{A}(0,2)`


Line (i) is inclined at an angle of `60^{circ}` with +ve direction of `x`-axis.





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