Question

Find the equation of the ellipse whose symmetry axes are given by $x+y-2=0$ and $y-x-1=0$. Also semi width $a=2$ and semi height $b=1$.

score 164 · Answer 1 · 2026-04-03 11:08:38

Find the equation of the ellipse whose symmetry axes are given by $x+y-2=0$ and $y-x-1=0$. Also semi width $a=2$ and semi height $b=1$.

score 2.2k · Answer 2 · 2026-03-27 00:05:25

2.2k

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Reduce to its canonical form the conic $\Gamma:=x^2+4xy+4y^2+2x-4y$

Published on 27 Mar 2026 - 0:05

score 164 · Answer 3 · 2026-04-03 11:06:53

164

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Find the equation of the cylinder whose two directions are given.

Published on 03 Apr 2026 - 11:06

score 1.3k · Answer 4 · 2026-03-26 22:19:09

1.3k

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Connection between hyperbola and hyperbolic functions

Published on 26 Mar 2026 - 22:19

score 1.3k · Answer 5 · 2026-03-31 22:43:45

1.3k

Views

A good book for conics?

Published on 31 Mar 2026 - 22:43

score 45 · Answer 6 · 2020-05-25 04:49:56

45

Views

Prove that A(FKP)=A(EDP).

Published on 25 May 2020 - 4:49

score 174 · Answer 7 · 2026-04-01 13:34:26

174

Views

Deriving polar coordinate form of ellipse. Issue with length of a distance to a foci.

Published on 01 Apr 2026 - 13:34

score 122 · Answer 8 · 2020-05-27 19:29:06

122

Views

Find the equation of a parabola given three points in $(x-h)^2 = -4p(y-k)$

Published on 27 May 2020 - 19:29

score 102 · Answer 9 · 2020-05-27 19:54:47

102

Views

A geometric interpretation of why the principal axis of a conic section is along the Eigenvectors?

Published on 27 May 2020 - 19:54

score 957 · Answer 10 · 2020-05-28 17:33:55

The chord $x-y-1=0$ cuts the parabola $y^2-4x=0$ at P and Q (1st and 4th quad respectively). Normals at P and Q meet at R

score 230 · Answer 11 · 2026-03-26 04:34:58

230

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Intersection of oblate spheroid $\frac{x^2+y^2}{R_e^2}+\frac{z^2}{R_p^2} =1$ and plane $n_xx+n_yy+n_zz=0$

Published on 26 Mar 2026 - 4:34

score 2.3k · Answer 12 · 2026-04-03 12:54:51

2.3k

Views

Is there a formula for bounded area between line and parabola?

Published on 03 Apr 2026 - 12:54

score 929 · Answer 13 · 2020-05-29 10:55:39

929

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Conjugate diameters of ellipsoid

Published on 29 May 2020 - 10:55

score 293 · Answer 14 · 2020-05-29 16:33:01

293

Views

Find radius of largest circle within ellipse $\frac{x^2}{9} + \frac{y^2}4 = 1$ with their intersection only at $(3,0)$

Published on 29 May 2020 - 16:33

score 4.8k · Answer 15 · 2020-05-29 17:45:58

From a point perpendicular tangents are drawn on the ellipse $x^2+2y^2=2$. The chord of contact touches a circle concentric with ellipse...

List Question

Find the equation of the ellipse whose symmetry axes are given by $x+y-2=0$ and $y-x-1=0$. Also semi width $a=2$ and semi height $b=1$.

Reduce to its canonical form the conic $\Gamma:=x^2+4xy+4y^2+2x-4y$

Find the equation of the cylinder whose two directions are given.

Connection between hyperbola and hyperbolic functions

A good book for conics?

Prove that A(FKP)=A(EDP).

Deriving polar coordinate form of ellipse. Issue with length of a distance to a foci.

Find the equation of a parabola given three points in $(x-h)^2 = -4p(y-k)$

A geometric interpretation of why the principal axis of a conic section is along the Eigenvectors?

The chord $x-y-1=0$ cuts the parabola $y^2-4x=0$ at P and Q (1st and 4th quad respectively). Normals at P and Q meet at R

Intersection of oblate spheroid $\frac{x^2+y^2}{R_e^2}+\frac{z^2}{R_p^2} =1$ and plane $n_xx+n_yy+n_zz=0$

Is there a formula for bounded area between line and parabola?

Conjugate diameters of ellipsoid

Find radius of largest circle within ellipse $\frac{x^2}{9} + \frac{y^2}4 = 1$ with their intersection only at $(3,0)$

From a point perpendicular tangents are drawn on the ellipse $x^2+2y^2=2$. The chord of contact touches a circle concentric with ellipse...

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