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.

A straight line passing through A (-2,1) , makes an angle of 30^(@) with the positive direction of the X-axis. Find the points on the straight line whose distance from A is 4 units.

A straight line passes through (4,5) and makes an angle 60^(@) with x-axis in the positive directio . Its equation in te parametric form

A straight line through P(3,4) makes an angle of 60^(@) with the positive direction of the X-axis. Find the coordinates of the points with the line whre are 5 units away from P.

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 straight line passing through (1, 1, 1) makes an angle of 60^(@) with the positive direction of the z-axis, and the cosines of the angles made with the positive directions of y, x-axis are in the ratio sqrt(3):1 . Then the acute angle between the two possible positions of the line is