If the variable line $y = kx + 2h$ is tangent to an ellipse $2x^2 + 3y^2 = 6$ , the locus of $P (h, k)$ is a conic $C$ whose eccentricity equals
If the variable line $y = kx + 2h$ is tangent to an ellipse $2x^2 + 3y^2 = 6$ , the locus of $P (h, k)$ is a conic $C$ whose eccentricity equals
- A
$\frac{{\sqrt 5 }}{2}$
- B
$\frac{{\sqrt 7 }}{3}$
- C
$\frac{{\sqrt 7 }}{2}$
- D
$\sqrt {\frac{7}{3}} $
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