Find the area of circle `4x^2+4y^2=9` which is interior to the parabola `x^2=4y`

Find the area of the circle 4x^(2)+4y^(2)=9 which is interior to the parabola x^(2)=4y

Find the area of the circle 4x^2+4y^2=9 which is interior to parabola y^2=4x .

Find the area of that part of the circle x^(2)+y^(2)=16 which is exterior to the parabola y^(2)=6x

Find the equation of line which is normal to the parabola x^(2)=4y and touches the parabola y^(2)=12x .

(i) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 6x + 12y + 15 = 0 and of double its radius. (ii) Find the equation of a circle , which is concentric with the circle x^(2) + y^(2) - 2x - 4y + 1 = 0 and whose radius is 5. (iii) Find the equation of the cricle concentric with x^(2) + y^(2) - 4x - 6y - 3 = 0 and which touches the y-axis. (iv) find the equation of a circle passing through the centre of the circle x^(2) + y^(2) + 8x + 10y - 7 = 0 and concentric with the circle 2x^(2) + 2y^(2) - 8x - 12y - 9 = 0 . (v) Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 8y - 6 = 0 and having radius double of its radius.

Find the area of the region which is inside the parabola y = - x^(2) + 6x - 5 , out the side the parabola y = - x^(2) + 4x - 3 and left of the stragiht line y = 3x-15 .

Find the equation of the circle which is concentric with the circle x^2 +y^2 - 4x+6y-3=0 and the double of its area.

Find the equation of normal to the parabola x^(2)=4y at (6,9)

Find the area of the figure contained between the parabola x^(2)= 4y and the witch of Agnesi y= (8)/(x^(2)+4)

The equation of the common tangents to the circle (x-3)^(2)+y^(2)=9 and the parabola y^(2)=4x the x-axis, is