Let the variable line \( y=k x+h \) is tangent to the hyperbola \( \frac{\mathrm{x}^{2}}{4}-\fra...

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Let the variable line \( y=k x+h \) is tangent to the hyperbola \( \frac{\mathrm{x}^{2}}{4}-\frac{\mathrm{y}^{2}}{9}=1 \). If locus of \( P(h, k) \) is a conic, then which of the following is true?
(a) Focus of conic lies on y-axis.
(b) Eccentricity of conic is greater than the eccentricity of given hyperbola.
(c) Centre of conic is at origin.
(d) Conic is an ellipse.
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