Question

How can the slopes of the asymptotes of a hyperbola be $\pm b/a$ when the asymptotes of a rectangular hyperbola are perpendicular?

score 749 · Answer 1 · 2019-12-21 11:38:51

How can the slopes of the asymptotes of a hyperbola be $\pm b/a$ when the asymptotes of a rectangular hyperbola are perpendicular?

score 136 · Answer 2 · 2026-03-26 14:19:25

136

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Do $T_s$ and $H_s$ both describe hyperbolic rotation?

Published on 26 Mar 2026 - 14:19

score 599 · Answer 3 · 2026-03-26 17:28:24

599

Views

cyclical points on a conic section

Published on 26 Mar 2026 - 17:28

score 137 · Answer 4 · 2026-03-26 05:54:21

137

Views

A way to directly see $a^2+b^2=f^2$ for hyperbolae?

Published on 26 Mar 2026 - 5:54

score 320 · Answer 5 · 2019-12-24 09:18:53

320

Views

Given parabola $y^2=4x$ find the equation of the chord with $(2,3)$ as its midpoint

Published on 24 Dec 2019 - 9:18

score 64 · Answer 6 · 2019-12-26 07:23:55

64

Views

Computing an ellipse's area by substitution

Published on 26 Dec 2019 - 7:23

score 171 · Answer 7 · 2026-04-01 21:50:33

171

Views

A Conic Locus Problem

Published on 01 Apr 2026 - 21:50

score 852 · Answer 8 · 2019-12-31 18:33:44

852

Views

Is the empty set considered a conic?

Published on 31 Dec 2019 - 18:33

score 107 · Answer 9 · 2020-01-01 03:11:36

107

Views

Why does an orthogonal linear transformation does not distort conics while other transformations do?

Published on 01 Jan 2020 - 3:11

score 1.6k · Answer 10 · 2026-04-01 23:35:00

1.6k

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An ellipse with center $(3,4)$ touches the $x$-axis $(0,0)$; the slope of its major axis is $1$. Find its eccentricity and equation.

Published on 01 Apr 2026 - 23:35

score 359 · Answer 11 · 2026-03-31 15:46:26

359

Views

Normalizing (scaling) an equation of an ellipsoid, what becomes of the $x,y,z$ terms?

Published on 31 Mar 2026 - 15:46

score 70 · Answer 12 · 2020-01-04 07:54:28

70

Views

What is wrong with this derivation of the distance $\pi(a+b)$ around an ellipse? (From Strang's Calculus)

Published on 04 Jan 2020 - 7:54

score 187 · Answer 13 · 2026-03-25 12:13:55

187

Views

Conics in Grassmannians

Published on 25 Mar 2026 - 12:13

score 95 · Answer 14 · 2020-01-07 17:13:54

95

Views

Find intersection point of pair of lines $a(x-\alpha)^2+h(x-\alpha)(y-\beta)+b(y-\beta)^2$

Published on 07 Jan 2020 - 17:13

score 142 · Answer 15 · 2020-01-07 17:26:24

142

Views

Find pair of line equations passing origin and points of intersection of $lx+my+n=0$ and $y^2=4ax$

Published on 07 Jan 2020 - 17:26

List Question

How can the slopes of the asymptotes of a hyperbola be $\pm b/a$ when the asymptotes of a rectangular hyperbola are perpendicular?

Do $T_s$ and $H_s$ both describe hyperbolic rotation?

cyclical points on a conic section

A way to directly see $a^2+b^2=f^2$ for hyperbolae?

Given parabola $y^2=4x$ find the equation of the chord with $(2,3)$ as its midpoint

Computing an ellipse's area by substitution

A Conic Locus Problem

Is the empty set considered a conic?

Why does an orthogonal linear transformation does not distort conics while other transformations do?

An ellipse with center $(3,4)$ touches the $x$-axis $(0,0)$; the slope of its major axis is $1$. Find its eccentricity and equation.

Normalizing (scaling) an equation of an ellipsoid, what becomes of the $x,y,z$ terms?

What is wrong with this derivation of the distance $\pi(a+b)$ around an ellipse? (From Strang's Calculus)

Conics in Grassmannians

Find intersection point of pair of lines $a(x-\alpha)^2+h(x-\alpha)(y-\beta)+b(y-\beta)^2$

Find pair of line equations passing origin and points of intersection of $lx+my+n=0$ and $y^2=4ax$

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