A ladder 12 units long slides in a vertical plane with its ends in contact with a vertical wall ...

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A ladder 12 units long slides in a vertical plane with its ends in contact with a vertical wall and a horizontal floor along \( x \)-axis. The locus of a point on the ladder 4 units from its foot has the equation:
(a) \( \frac{x^{2}}{4}+y^{2}=1 \)
(b) \( \frac{x^{2}}{16}+\frac{y^{2}}{64}=1 \)
(c) \( \frac{x^{2}}{64}+\frac{y^{2}}{16}=1 \)
(d) \( x^{2}+\frac{y^{2}}{4}=1 \)
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