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If the distance between two parallel tangents having slope {m}

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If the distance between two parallel tangents having slope $m$ drawn to the hyperbola $\frac{x ^{2}}{9} - \frac{y ^{2}}{49} = 1$ is 2, then the value of $2 ∣ m ∣$ is_____

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If the distance between two parallel tangents having slope

m

drawn to the hyperbola

\frac{x ^{2}}{9} - \frac{y ^{2}}{49} = 1

is 2, then the value of

2 ∣ m ∣

is_____

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Question Text

If the distance between two parallel tangents having slope

m

drawn to the hyperbola

\frac{x ^{2}}{9} - \frac{y ^{2}}{49} = 1

is 2, then the value of

2 ∣ m ∣

is_____

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