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Previous Year Question (PYQs)
2
The tangent to the hyperbola $x^2-y^2=3$ are parallel to the straight line $2x+y+8=0$ at the following points:
Solution
Slope of line $2x+y+8=0$ is $-2$.
Slope of tangent to hyperbola is $\dfrac{x}{y}$.
Set $\dfrac{x}{y}=-2 \Rightarrow y=-\dfrac{x}{2}$.
Substitute in $x^2-y^2=3$ ⇒ $x=\pm2$, $y=\mp1$.
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