Find the angle between the curves `C_(1): x^(2) - (y^(2))/(3) = a^(2) and C_(2): xy^(3) = c`.

The shortest distance between the circles (x-1) ^(2) + (y +2) ^(2) =1 and (x + 2) ^(2)+ (y-2) ^(2) = 4 is a)1 b)2 c)3 d)4

Find the equation of the tangent to the curve x^(2/3)+y^(2/3)=2 at (1,1).

The angle between the curves, y = x^(2) and y^(2) - x = 0 at the point (1, 1) is a) (pi)/(2) a) tan^(-1)""(4)/(3) c) (pi)/(3) d) tan^(-1)""(3)/(4)