conic-section

Related Questions

• Equation of diameter of parabola ${{y}^{2}}=x$ corresponding to the chord $x-y+1=0$ is

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• The equation of the normal to the ellipse $\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1$ at the point $(a\cos \theta ,\ b\sin \theta )$ is

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• If any tangent to the ellipse $\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1$ cuts off intercepts of length h and k on the axes, then $\frac{{{a}^{2}}}{{{h}^{2}}}+\frac{{{b}^{2}}}{{{k}^{2}}}=$

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• The maximum number of normal that can be drawn from a point to a parabola 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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