Find the coordinates of the point which divides the line segment joining the points (5, –2) and (9, 6) in the ratio 3 : 1.
Let the required point be (x, y), then
Thus the coordinates of the required point are (8, 4)
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.
Transform the equation into polar 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 length of median through A of a triangle whose vertices are A(–1, 3), B(1, – 1)and C(5, 1).