If tangents drawn from the point (a,2) to the hyperbola 16x2−9y2=1 are perpendicular, then the value of a2 is _____

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If tangents drawn from the point {({a},{2})} to the hyperbola

Question

If tangents drawn from the point $(a, 2)$ to the hyperbola $\frac{x ^{2}}{16} - \frac{y ^{2}}{9} = 1$ are perpendicular, then the value of $a^{2}$ is _____

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If tangents drawn from the point

(a, 2)

to the hyperbola

\frac{x ^{2}}{16} - \frac{y ^{2}}{9} = 1

are perpendicular, then the value of

a^{2}

is _____

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Question Text

If tangents drawn from the point

(a, 2)

to the hyperbola

\frac{x ^{2}}{16} - \frac{y ^{2}}{9} = 1

are perpendicular, then the value of

a^{2}

is _____