Can you find the point of intersection?
Calculus
Level
2
Find the angle (in degrees) of intersection of the curves
\[\begin{cases} x^{3}-3xy^{2}=a \\ 3yx^{2}-y^{3}=b \end{cases}\]
Details and Assumptions
\(a\) and \(b\) are real numbers.
Angle of intersection of curves is the angle between the tangents to the curves at the point of their intersection.
by
Sandeep Bhardwaj