conic-section

Related Questions

• Latus rectum of ellipse $4{{x}^{2}}+9{{y}^{2}}-8x-36y+4=0$ is

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• The eccentricity of the curve represented by the equation ${{x}^{2}}+2{{y}^{2}}-2x+3y+2=0$ is

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• If e and e’ are the eccentricities of the ellipse $5{{x}^{2}}+9{{y}^{2}}=45$ and the hyperbola $5{{x}^{2}}-4{{y}^{2}}=45$ respectively, then $ee'=$

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• The locus of the point of intersection of the perpendicular tangents to the ellipse $\frac{{{x}^{2}}}{9}+\frac{{{y}^{2}}}{4}=1$ is

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• The locus of a point $P(\alpha ,\,\beta )$ moving under the condition that the line $y=\alpha x+\beta $ is a tangent to the hyperbola $\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1$ is

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