Prove that two parabolas `y_(2)=4ax "and" x^(2)=4by` intersect (other than the origin )
at an angle of ` Tan^(-1)[(3a^(1//3)b^(1//3))/(2(a^(2//3)+b^(2//3)))]` .

Answer

`theta = Tan^(-1) [ ( 3a^(1//3) b^(1//3) )/( 2(a^(2//3) + b^(2//3) ) )]`