Find the equation of a circle with centre(2,2)and passes through the point (4,5).

Find the equation of a circle whose centre is the origin and passes through the point (2,-4).

Find the equation of a circle whose centre is (1,2) and radius 2.

Find the equation of the circle whose centre is (4, 5) and which passes through the centre of the circle x ^2 + y ^2 + 4x -6y - 12 = 0

Find the equation of the straight line which passes through the point (2, -3) and is perpendicular to the straight line joining the points (5, 7) and ( -6, 3).

Find the equation of the circle whose centre is (2, 3) and which touches the line 3x - 4y - 1 = 0.

Find the equation of the straight line which passes through the point (2, -3) and cuts off intercepts on the axes (i) equal in magnitude and sign

Find the equation of the straight line which passes through the point (2, -3) and cuts off intercepts on the axes (ii) equal in magnitude but opposite in sign

Find the equation of the straight line passing through the point (ii) (1, -5) and perpendicular to the line 2x + 5y + 4 = 0

Find the equation of the straight lines which pass through the point (2, 3) and are such that the sum of the intercepts of each line on the axes is 10.

Find the equation of the straight line passing through the point (i) (3, 5) and parallel to the line 4x - 3y + 1 = 0