Mathematics

Problem

The lines tangent to the curves

y^3 - x^2y + 5y - 2x = 0

and

x^4 - x^3y^2 + 5x + 2y = 0

at the origin intersect at an angle

\theta

equal to (a)

\frac{\pi}{6}

(b)

\frac{\pi}{4}

(c)

\frac{\pi}{3}

(d)

\frac{\pi}{2}