If a hyperbola passes through the point $\mathrm{P}(10,16)$ and it has vertices at $(\pm 6,0)$, then the equation of the normal to it at $\mathrm{P}$ is
$x+2 y=42$
$3 x+4 y=94$
$2 x+5 y=100$
$x+3 y=58$
Correct Option: , 3
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