Conic Sections

JEE Advanced · Mathematics · 71 past questions

6 of 71 · show all

1. Q24 2018 Paper 2

   Let $H: \frac{x^2}{a^2}-\frac{y^2}{b^2}=1$, where $a>b>0$, be a hyperbola in the $xy$-plane whose conjugate…

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2. Q25 2017 Paper 1

   If $2x - y + 1 = 0$ is a tangent to the hyperbola $\frac{x^2}{a^2} - \frac{y^2}{16} = 1$, then which of the…

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3. Q47 2011 Paper 1

   Let the eccentricity of the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ be reciprocal to that of the…

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4. Q55 2010 Paper 1

   The line $2x+y=1$ is tangent to the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$. If this line passes…

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5. Q66 2008 Paper 2

   Consider a branch of the hyperbola…

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6. Q67 2007 Paper 1

   A hyperbola, having the transverse axis of length $2\sin\theta$, is confocal with the ellipse…

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