conic-section

Related Questions

• The equation of latus rectum of a parabola is $x+y=8$ and the equation of the tangent at the vertex is $x+y=12$ , then length of the latus rectum 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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• The equation of the tangent at a point $P(t)$ where ‘t’ is any parameter to the parabola ${{y}^{2}}=4ax$ , is

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• If the parabola ${{y}^{2}}=4ax$ passes through the point (1, –2), then the tangent at this point is

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• The auxiliary equation of circle of hyperbola $\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1$, is

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