If \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1(ab) \) and \( x^{2}-y^{2}=c^{2} \) cut at right ...
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If \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1(ab) \) and \( x^{2}-y^{2}=c^{2} \) cut at right angles, then
(A) \( a^{2}+b^{2}=2 c^{2} \)
(B) \( a^{2}-b^{2}=2 c^{2} \)
(C) \( b^{2}-a^{2}=2 c^{2} \)
(D) \( a^{2} b^{2}=2 c^{2} \)
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