If r represents the distance of a point from origin & `theta` is the angle made by line joining origin to that point from line x-axis, then `r = |costheta|` represents

Find the distance of that point from the origin which divides the line segment joining the points (5, -4) and (3, -2) in the ratio 4:3 .

Find the distance of that point from the origin which divides the line segment joining the points (5, -4) and (3, -2) in the ratio 4:3 .

Find the distance of the intercept at point of x-axis and the line 5x+9y-45=0 from origin.

The distance of the mid point of the line joining the points (a sin theta, 0)and (0, a cos theta) from the origin is

The distance of the mid point of the line joining the points (a sin theta, 0)and (0, a cos theta) from the origin is

Show that the relation R on the set A of points in a plane given by R ={(P,Q): distance of the point P from the origin is same as the distance of the point Q from the origin) is an equivalence relation. Further, show that the set of all points related to a point P ne (0,0) is the circle passing through P with origin as centre.