Angle of intersection of curves-

Show that the curves
$ \frac{x^2}{a^2+\lambda_1}+\frac{y^2}{b^2+\lambda_1}=1 $&
$ \frac{x^2}{a^2+\lambda_2}+\frac{y^2}{b^2+\lambda_2}=1 $ intersect at right angles.

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