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Find the equation of the following curves in cartesian form. If the curve is a circle find the centres and radii. (i) x = -1 + 2cosalpha, y = 3 + 2sinalpha.

Find the equation of the following curves in cartesian form. If the curve is a circle find the centres and radii. (i) x = -1 + 2cosalpha, y = 3 + 2sinalpha.

Find the equation of the following curves in cartesian form. If the curve is a circle find the centres and radii. (i) x = -1 + 2cosalpha, y = 3 + 2sinalpha.

Find the equations of the following curves in cartesian form. Wherever the curve is a circle, find its centre and radius : x= at^2, y=2at .

Find the equation of the circle circumscribing the triangle formed by the straight line 2x + 3y = 6 with the axes of coordinates. What is the diameter of the circle ?

Find the equation of circles that touch both the axes and pass through ( -4,-2) in general form.

AB and CD are two equal chords of a circle with centre at O. If the distacne of AB form O be 2 cm , then find the distance of CD form O.

Find the equation of the circle which circumscribes the triangle formed by the line: quad y=x+2,3y=4x and 2y=3x