[" [40] Find the radius of curvature for the Folium of De-Cartes "],[x^(3)+y^(3)=3a" xy at the point "(3a/2,3a/2)" on it."]

Find the centre and the radius of the circles 3x^(2) + 3y^(2) - 8x - 10y + 3 = 0

Find the centre and the radius of the circles 3x^(2) + 3y^(2) - 8x - 10y + 3 = 0

Find the product of (-2xy)(3x - y)

Find the equations of tangents and normals to the curve at the point on it: x^3 + y^3 - 9xy = 0 at (2,4)

If 3x-2y=11 and xy=12, find the value of 27x^(3)-8y^(3)

Find the equations of the tangent and the normal to the following curves : (a) 4x^(3)-3xy^(2)+6x^(2)-5xy-8y^(2)+9x+14=0 at the point (-2,3) (b) x^(5)+y^(5)-2xy=0 at the point (1,1)