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Conics related problem

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#conic-sections
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$PQ:2x+y+6=0$ is a chord hyperbola $x^2-4y^2=4$, and $R=(\alpha,\beta)$ with $\alpha^2+\beta^2-1\leq0$, such that area of triangle $PQR$ is minimum.

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#algebra-precalculus #analytic-geometry #conic-sections
326
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Question on tangent lines and the center of an ellipse

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#geometry #conic-sections
89
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Center of a general hyperbola

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#conic-sections
688
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When is the intersection of a cone and a cylinder is planar?

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#conic-sections #solid-geometry
66
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Question about hyperbolic angle.

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#conic-sections #hyperbolic-functions
166
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General treatment for conic homogenization

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#geometry #analytic-geometry #conic-sections
231
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How can the formula for arc length work (for an ellipse)?

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#conic-sections #arc-length
283
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Divide an ellipse into three parts

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#measure-theory #conic-sections #area
588
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Solving a quadratic equation problem with two variables

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#matrices #systems-of-equations #quadratics #conic-sections #quartics
482
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Two equal parabolas with foci at S and S' touch each other at point P, such that PS'=PS. If the parabola with focus S is fixed, find the locus of S'

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#geometry #soft-question #conic-sections
43
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Is an ellipse of tilted angle $\theta$ and passing through point X(xp,yp) unique?

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#linear-algebra #geometry #conic-sections
180
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Parameter of ellipse in $\mathbb{R}^3$ derived from 2 planar projections

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#geometry #trigonometry #conic-sections
3.7k
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Least square fit of ellipse worsens with increasing border thickness

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#conic-sections #least-squares #image-processing
159
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I want to prove a property of confocal conics

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#geometry #conic-sections

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