A straight line through `Q(sqrt3,2)` makes an angle `pi/6` with positive dircction of the x axis. If the straight line intersects `sqrt3x-4y+8=0 at P`. Find distance `PQ?`

A straight line through Q(sqrt(3),2) makes an angle (pi)/(6) with positive dircction of the x axis.If the straight line intersects sqrt(3)x-4y+8=0atP. Find distance PQ?

A straight line through Q(sqrt(3),2) makes an angle pi/6 with the positive direction of the x -axis,If the straight line intersects the line sqrt(3)x-4y+8=0 at P ,find the distance PQ.

If a straight line through Q(2,3) makes an angle (3pi)/4 with the negative direction of the x axis.If the straight line intersects the line x+y-7=0 at P find PQ

Slope of a straight line making an angle (5 pi)/(6) with the positive direction of x - axis is

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.

Find the angle made by the line x+sqrt3y-6=0 with the positive direction of the x-axis.

Equation of the straight line which passes through the point A(2,3) makes an angle 45widehat A with x -axis.If this line meets the line x+y+1=0 at P. Then the distance of AP is

Find the equation of the line through the point (0, 2) making an angle pi/6 with the positive x-axis. Also find the equation of the line parallel to it and crossing the y-axis at a distance of 2 units below the origin.

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