P is a point on either of the two lines $$y-3x=2$$ 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

Question

P is a point on either of the two lines $$y-3x=2$$ 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

Infinity Learn · Accepted Answer

Equation, of two lines are $$y=3x+2$$, if   x≥$$0$$  and $$y=-3x+2$$, if   x≥$$0Clearly$$, y≥$$2Also$$, $$y-axis$$ is the bisector of the angle between the two lines. $$P1$$,$$P2$$ are two points on these lines, at a distance $$5$$ units from A.. Q is the foot of the ⊥ from $$P1$$ and $$P2$$ on the bisector (y-axis). Then, the coordinates of Q are $$(0$$, $$2$$ $$+$$ $$5$$ $$cos$$ $$30$$º$$)=0$$,$$2+532=0$$,$$124+53$$

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

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P is a point on either of the two lines y-3x=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

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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