Transform The Equation  into Polar Form.

Find the cartesian co-ordinates of the points whose polar coordinates are

Find the cartesian co-ordinates of the points whose polar coordinates are

Find the polar coordinates of the points whose cartesian coordinates are (–2, 2)

Find the polar coordinates of the points whose cartesian coordinates are (–3, 4)

Transform the equation  into cartesian form.

Find the distance between the points

where a > 0.

An equilateral triangle has one vertex at the point (0, 0) and another at . Find the coordinates of the third vertyex. 

Let the opposite angular points of a square be (3, 4) and (1, –1). Find the coordinates of the remaining angular points

Find the circumcentre of the triangle whose vertices are (–2, –3), (–1, 0) and (7, –6). Also find the radius of the circumcircle.

Find the coordinates of the point which divides the line segment joining the points (5, –2) and (9, 6) in the ratio 3 : 1.