Question

P is a point on either of the two lines y – $\sqrt { 3 }$ |x| = 2 at a distance of 5 units from their point of intersection. The coordinates of the foot of the perpendicular from p on the bisector of the angle between them are–

• A. $\left( 0 , \frac { 4 + 5 \sqrt { 3 } } { 2 } \right)$or $\left( 0 , \frac { 4 - 5 \sqrt { 3 } } { 2 } \right)$ depending on which the point P is takes.
• B. $\left( 0 , \frac { 4 + 5 \sqrt { 3 } } { 2 } \right)$
• C. $\left( 0 , \frac { 4 - 5 \sqrt { 3 } } { 2 } \right)$
• D. $\left( \frac { 5 } { 2 } , \frac { 5 \sqrt { 3 } } { 2 } \right)$

Answer 1

Answer: (B)

$\left( 0 , \frac { 4 + 5 \sqrt { 3 } } { 2 } \right)$

Answer 2

Foot of perpendicular F : (0, 2 + 5 cos 30⁰)