Question

Problem in understanding the result of finding the equation of a tangent plane to a central conicoid.

score 69 · Answer 1 · 2023-02-01 15:16:43

69

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Problem in understanding the result of finding the equation of a tangent plane to a central conicoid.

Published on 01 Feb 2023 - 15:16

score 28 · Answer 2 · 2023-02-01 21:33:04

28

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Construct equation of ellipse, if focuses are $F_1 (-1, -1), F_2 (1, 1)$, height (perpendicular to $F_1 F_2$) $b = 1$

Published on 01 Feb 2023 - 21:33

score 569 · Answer 3 · 2023-02-02 14:17:28

569

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Find the locus of the point of intersection of three mutually perpendicular tangent planes to the paraboloid $ax^2+by^2=2cz.$

Published on 02 Feb 2023 - 14:17

score 243 · Answer 4 · 2026-04-01 09:33:11

243

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Determinant for of Area of triangle in 3D

Published on 01 Apr 2026 - 9:33

score 47 · Answer 5 · 2023-02-03 23:46:11

47

Views

$a \le b \le c$ and $\gcd(a,b,c) = 1$ such that they are side lengths of a triangle one of whose angle is $60^\circ$.

Published on 03 Feb 2023 - 23:46

score 69 · Answer 6 · 2026-03-29 12:12:21

69

Views

Equation of line from two points (general solution)

Published on 29 Mar 2026 - 12:12

score 138 · Answer 7 · 2023-02-05 18:52:04

138

Views

How will this be solved via the use of complex numbers (angle bisector)?

Published on 05 Feb 2023 - 18:52

score 127 · Answer 8 · 2026-03-27 15:20:01

127

Views

Find the point of contact of the plane $2x-2y+z+12=0$ with the sphere $x^2+y^2+z^2-2x-4y+2z=3.$

Published on 27 Mar 2026 - 15:20

score 46 · Answer 9 · 2023-02-07 08:00:53

46

Views

Show $y= \sqrt{2x-x^2}$ maps out a circle of radius centered at the coordinate $(x,y) = (1,0)$

Published on 07 Feb 2023 - 8:00

score 32 · Answer 10 · 2026-04-05 17:35:59

32

Views

Find the maximum value of product of three perpendiculars

Published on 05 Apr 2026 - 17:35

score 113 · Answer 11 · 2023-02-07 18:51:47

113

Views

How would you solve this geometry problem analytically?

Published on 07 Feb 2023 - 18:51

score 284 · Answer 12 · 2026-03-27 19:51:46

284

Views

Describing a cartesian plane through spherical coordinates

Published on 27 Mar 2026 - 19:51

score 33 · Answer 13 · 2026-03-26 07:33:18

33

Views

Three or more points moving on a circle and a convergent subsequence

Published on 26 Mar 2026 - 7:33

score 71 · Answer 14 · 2023-02-13 06:25:19

Find a Specific Open Rectangle Enclosed Entirely in the Complement of $C = \{(x,y) \in \mathbb{R}^2: xy = 1\}$ about a point $(p,q)$.

score 36 · Answer 15 · 2026-03-25 11:02:48

36

Views

How can I call "trivial" quadrics, like empty set, single point, straight line, plane, two lines, two planes...?

Published on 25 Mar 2026 - 11:02

List Question

Problem in understanding the result of finding the equation of a tangent plane to a central conicoid.

Construct equation of ellipse, if focuses are $F_1 (-1, -1), F_2 (1, 1)$, height (perpendicular to $F_1 F_2$) $b = 1$

Find the locus of the point of intersection of three mutually perpendicular tangent planes to the paraboloid $ax^2+by^2=2cz.$

Determinant for of Area of triangle in 3D

$a \le b \le c$ and $\gcd(a,b,c) = 1$ such that they are side lengths of a triangle one of whose angle is $60^\circ$.

Equation of line from two points (general solution)

How will this be solved via the use of complex numbers (angle bisector)?

Find the point of contact of the plane $2x-2y+z+12=0$ with the sphere $x^2+y^2+z^2-2x-4y+2z=3.$

Show $y= \sqrt{2x-x^2}$ maps out a circle of radius centered at the coordinate $(x,y) = (1,0)$

Find the maximum value of product of three perpendiculars

How would you solve this geometry problem analytically?

Describing a cartesian plane through spherical coordinates

Three or more points moving on a circle and a convergent subsequence

Find a Specific Open Rectangle Enclosed Entirely in the Complement of $C = \{(x,y) \in \mathbb{R}^2: xy = 1\}$ about a point $(p,q)$.

How can I call "trivial" quadrics, like empty set, single point, straight line, plane, two lines, two planes...?

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