Find the angle made by the line joining the points (1,3) and (3,5) with the positive direction of x-axis.

Find the equation of the line passing through the points (1,3) and (-2,-1).

Find the ratio in which the line segment joining the points (2,-3) and (4,6) is divided by the x-axis.

Find the direction ratios of the line joining the points P (1, 3, -2) and Q ( -2 , 4, 0).

Find the slope of the line joining the following points and hence write down the inclination of the line to the positive X-axis. (i) (3, 4) and (-2, -1)

Find the slope of the line joining the following points and hence write down the inclination of the line to the positive X-axis. (ii) (-1, sqrt 3 ) and (3, -3 sqrt 3 )

Find the ratio in which the line-segment joining the points P(3, 5) and Q(-2, 7) is divided by the X-axis and hence find the coordinatesof the point of intersection.

Find the coortinates of the point which divides the line segment joining the points (2, 3) and (4, -5) internally in the ratio 2 : 3.

Find the ratio in which the line segment joining the points (-3,10) and (6,-8) is divided by (-1,6)

Find the equation of the straight line passing through the point (3, 2) and the point of intersection of the lines 3x + 2y - 1 = 0 and x - 3y + 5 = 0.

Find the equation of the circle described on the line segment joining the points (5, 3) and (3, 1) as a diameter.