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CUET Previous Year Questions (PYQs)
CUET Hyperbola PYQ
CUET PYQ
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CUET Previous Year PYQ CUET CUET 2023 PYQ
The tangent to the hyperbola $x^2-y^2=3$ are parallel to the straight line $2x+y+8=0$ at the following points:
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CUET Previous Year PYQ CUET CUET 2023 PYQ
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 $x^2-y^2=3$ ⇒ $x=\pm2$, $y=\mp1$.
CUET PYQ
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CUET Previous Year PYQ CUET CUET MCA 2026 PYQ
The foci of hyperbola coincide with foci of ellipse
$ \frac{x^2}{25} + \frac{y^2}{9} = 1 $.
So the equation of hyperbola if $e = 2$ is
(a) $ \frac{x^2}{4} - \frac{y^2}{12} = 1 $
(b) $ \frac{x^2}{16} - \frac{y^2}{12} = 1 $
(c) $ \frac{x^2}{12} - \frac{y^2}{4} = 1 $
(d) $ \frac{x^2}{2} - \frac{y^2}{9} = 1 $
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CUET Previous Year PYQ CUET CUET MCA 2026 PYQ
Solution
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