If the curves, \(\frac{{x}^{2}}{a}+\frac{{y}^{2}}{b}=1\) and \(\frac{{x}^{2}}{c}+\frac{{y}^{2}}{d}=1\) intersect each ot…

If the curves, \(\frac{{x}^{2}}{a}+\frac{{y}^{2}}{b}=1\) and \(\frac{{x}^{2}}{c}+\frac{{y}^{2}}{d}=1\) intersect each other at an angle of \(90^\circ\), then which of the following relations is TRUE?

[JEE Main 2021, 25 Feb (Shift 1)]