conic-section

Related Questions

• The equations of the directrices of the ellipse $16{{x}^{2}}+25{{y}^{2}}=400$ are

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• The line $y=mx+c$ touches the curve $\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1$, if

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• The length of the chord of the parabola ${{y}^{2}}=4ax$ which passes through the vertex and makes an angle $\theta $ with the axis of the parabola, is

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• The point of intersection of tangents at the ends of the latus-rectum of the parabola ${{y}^{2}}=4x$ is equal to

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• If the eccentricities of the hyperbolas $\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1$ and $\frac{{{y}^{2}}}{{{b}^{2}}}-\frac{{{x}^{2}}}{{{a}^{2}}}=1$ be $e$ and ${{e}_{1}}$, then $\frac{1}{{{e}^{2}}}+\frac{1}{e_{1}^{2}}=$

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