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 direction of the X-axis. If the straight line intersects the line sqrt(3)x-4y+8=0 at P , find the 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.

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.

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

A st. line is drawn through the point P(sqrt3 ,2) making an angle of pi/6 with positive direction of the x-axis. If meets the st. line sqrt3x-4y+8=0 in Q, find the length of [PQ].

A straight line passes through A(1, 2) and makes an angle theta with the positive x axis. This .staight line intersects the straight line x + y = 4 at A_1 . If the distance from A to A_1 is sqrt6/3 ,find the value of theta .

A straight line passing through A (1, -2) makes an angle Tan^(-1) 4/3 with the positive direction of the X-axis in the anticlock wise sense. Find the point on the straight line whose distance from A is 5 units.

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.