conic-section

Related Questions

• 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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• If PSQ is the focal chord of the parabola ${{y}^{2}}=8x$ such that $SP=6$ . Then the length SQ is

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• The equation of the hyperbola whose foci are (6, 4) and (–4, 4) and eccentricity 2 is given by

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• PQ is a double ordinate of the parabola ${{y}^{2}}=4ax$ . The locus of the points of trisection of PQ is

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• The line $x\cos \alpha +y\sin \alpha =p$ will touch the parabola ${{y}^{2}}=4a(x+a)$ , if

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