Show that the common area between `y^(2)=ax` and `x^(2)+y^(2)=4ax` is `(3sqrt(3)+(4pi)/(3))a^(2)` square units.

Find the common area between the parabolas y^(2) =4ax and x^(2) =4by

Find the common area between the parabolas y^(2) -ax =a^(2) and y^(2) +ax =a^(2)

Show that,the area bounded between y=x^(3) and y=4x in the first quadrant is 4 square units.

Find the equation of the common tangent to the parbolas y^(2)=4 ax and x^(2)=4by

Using integration, prove that the area of the closed region bounded by the curves y^2=4x" and "x^2=4y is (16)/(3) sq. unit.

Maximum number of common normals of y^2=4ax and x^2=4by is ____

Show that the length of the common chord of the circles (x-a)^(2) + (y-b)^(2) = c^(2) and (x-b)^(2) + (y-a)^(2) = c^(2) is sqrt(4c^(2) -2(a-b)^(2)) unit.

The equation of the common tangent to the parabolas y^2= 4ax and x^2= 4by is given by

The area (in square unit ) bounded by the parabolas y^(2) = 4ax and x^(2) = 4ay is -

Using integration, prove that the area of the closed region bounded by the curves y^2 = 4x and x^2 = 4y is 16/3 sq. unit.