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 gt0 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^(@) ) .

P_1, P_2 are points on either of the two lines y- sqrt(3) |x| =2 at a

1.	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 gt0 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^(@) ) .
Answer» ANSWER :`D= ( 0,2 + ( 5sqrt5)/( 2) )` OR `(0,(4+ 5 sqrt(3) )/( 2))`