The straight line through `P(x_1, y_1)` inclined at an angle `theta` with the x-axis meets the line `a x+b y+c=0\ in\ Qdot` Find the length of `P Qdot`

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

If the straight line through the point (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 :

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 :

The straight line passing through P(x_1,y_1) and making an angle alpha with x-axis intersects Ax + By + C=0 in Q then PQ =________________

A Straight line drawn through the point A(2,1) making an angle pi//4 with positive x-axis intersects another line x+2y+1=0 in the point Bdot Find length A B .

Find the equation the straight line passing through (-2,3) and inclined at an angle of 45^0\ \ \ with the x-axis.

If a straight line through C(-sqrt8,sqrt8) making an angle 135^(@) with the x-axis cuts the circle x=5 cos theta, y=5 sin theta in points A and B, then length of segment AB is

If the tangent to the curve x y+a x+b y=0 at (1,1) is inclined at an angle tan^(-1)2 with x-axis, then find a and b ?

A straight line L through the point (3,-2) is inclined at an angle 60^@ to the line sqrt(3)x+y=1 If L also intersects the x-axis then the equation of L is