Locus of the point of intersection of the tangents to `(x^(2))/((73)^(2)) + (y^(2))/((14)^(2)) =1` which intersect at right angles is a circle with centre (0, 0) and radius r, then `r^(2)` equals _________ .

Explanation

To find \( r^2 \) for the locus of the point of intersection of the tangents to the ellipse given by

\[ \frac{x^2}{73^2} + \frac{y^2}{14^2} = 1 \]

which intersect at right angles, we can follow these steps:

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