Which of the following pairs of ellipse and hyperbola are orthogonal (a) \( \frac{x^{2}}{100}+\f...

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Which of the following pairs of ellipse and hyperbola are orthogonal
(a) \( \frac{x^{2}}{100}+\frac{y^{2}}{64}=1 \) and \( \frac{x^{2}}{19}-\frac{y^{2}}{17}=1 \)
(b) \( \frac{x^{2}}{81}+\frac{y^{2}}{49}=1 \) and \( \frac{x^{2}}{17}-\frac{y^{2}}{15}=1 \)
(c) \( \frac{x^{2}}{64}+\frac{y^{2}}{36}=1 \) and \( \frac{x^{2}}{15}-\frac{y^{2}}{13}=1 \)
(d) \( \frac{x^{2}}{49}+\frac{y^{2}}{25}=1 \) and \( \frac{x^{2}}{13}-\frac{y^{2}}{11}=1 \)
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