If a hyperbola whose foci are \( (-2,4) \) and \( (4,6) \) touches y-axis and length of its conj...
If a hyperbola whose foci are \( (-2,4) \) and \( (4,6) \) touches y-axis and length of its conjugate axis is \( 2 \sqrt{8} \), then equation of hyperbola is
(a) \( (3 x+y-8)^{2}-\frac{(x-3 y+14)^{2}}{4}=20 \)
(b) \( \frac{(x+3 y-7)^{2}}{2}-\frac{(x-3 y+8)^{2}}{8}=1 \)
(c) \( \frac{(3 x+y-8)^{2}}{2}-\frac{(x-3 y+14)^{2}}{8}=1 \)
\( (d) \frac{(x-3 y+14)^{2}}{2}-\frac{(3 x+y-8)^{2}}{8}=20 \)
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