Question

If the variable line (y = kx²ʰ) is tangent to an ellipse (2x² + 3y² = 6), then the locus of (P(h, k)) is a conic (C) whose eccentricity equals:
a) (√/2/3)
b) (/1/√6)
c) (/1/√2)
d) (/1/2)