conic-section

Related Questions

• If the line $x\cos \alpha +y\sin \alpha =p$ be normal to the ellipse $\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1$ , then

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• The angle of intersection between the curves ${{x}^{2}}=4(y+1)$ and ${{x}^{2}}=-4(y+1)$ is

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• If the line $y=mx+c$ touches the ellipse $\frac{{{x}^{2}}}{{{b}^{2}}}+\frac{{{y}^{2}}}{{{a}^{2}}}=1$ , then $c=$

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• The value of $\lambda $ , for which the line $2x-\frac{8}{3}\lambda y=-3$ is a normal to the conic ${{x}^{2}}+\frac{{{y}^{2}}}{4}=1$ is

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• If the tangent on the point $(2\sec \varphi ,\ 3\tan \varphi )$ of the hyperbola $\frac{{{x}^{2}}}{4}-\frac{{{y}^{2}}}{9}=1$ is parallel to $3x-y+4=0$, then the value of $\varphi$ is

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