Through the point `P(4, 1)` a line is drawn to meet the line `3x-y=0` at `Q `where `PQ11/2sqrt2`. Determine the equation of line

Through the point P(4,1) a line is drawn to meet the line 3x-y=0 at Q where PQ=(11)/(2sqrt(2)). Determine the equation of line.

If the straight line drawn through the point P(sqrt3,2) and making an angle (pi)/(6) with the x-axis meets the line sqrt3x-4y+8=0 at Q, find the length of PQ.

If the straight line drawn through the point P(sqrt3,2) and making an angle (pi)/(6) with the x-axis meets the line sqrt3x-4y+8=0 at Q, find the length of PQ.

If the straight line passes through the point P(3,4) makes an angle pi/6 with x-axis and meets the line 12 x + 5 y + 10 = 0 at Q, Then the length of PQ is :

A line 4x + y = 1 passes through the point A (2,-7) meets the line BC whose equation is 3x-4y + 1 =0,at the point B. If AB = AC, find the equation of AC.

If a line passes through the point P(1, 2) makes an angle of 45^(@) with the x axis and meets the line x + 2y - 7 = 0 in Q, then PQ equals