Question

Show that the Plane $P:ax+by+cz=0$ cuts the Cone $C:xy+yz+zx=0$ in perpendicular lines if $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=0$

score 2.4k · Answer 1 · 2026-05-05 08:58:16

2.4k

Views

Show that the Plane $P:ax+by+cz=0$ cuts the Cone $C:xy+yz+zx=0$ in perpendicular lines if $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=0$

Published on 05 May 2026 - 8:58

score 52 · Answer 2 · 2026-04-09 18:58:19

52

Views

How do I find the equation of the corresponding circle?

Published on 09 Apr 2026 - 18:58

score 52 · Answer 3 · 2026-04-13 17:31:36

52

Views

Proving the angle trisection identity of a limaçon

Published on 13 Apr 2026 - 17:31

score 106 · Answer 4 · 2026-04-13 12:52:18

106

Views

How would we know which slope to assign $m_1$ and to which $m_2$, while finding angle between two non vertical lines?

Published on 13 Apr 2026 - 12:52

score 59 · Answer 5 · 2026-04-11 20:48:57

59

Views

Showing two vectors are LD using cross product

Published on 11 Apr 2026 - 20:48

score 332 · Answer 6 · 2026-04-15 20:33:13

332

Views

Proving that a square is made by connecting point-opposite midpoint in larger square

Published on 15 Apr 2026 - 20:33

score 120 · Answer 7 · 2026-04-12 22:37:54

120

Views

Fitting a plane to points in three ways

Published on 12 Apr 2026 - 22:37

score 78 · Answer 8 · 2026-05-11 01:05:07

78

Views

Finding a geolocation that is approximately $d$ distance from a given geolocation

Published on 11 May 2026 - 1:05

score 261 · Answer 9 · 2026-05-05 08:55:14

261

Views

Ellipse inscribed in a circle

Published on 05 May 2026 - 8:55

score 849 · Answer 10 · 2026-04-15 02:50:31

849

Views

$\triangle ABC$ is an equilateral triangle with circumcentre $O(1,2)$ and vertex $A$ lying on the line $5x+2y=4$.Find area of quadrilateral $BCDE$.

Published on 15 Apr 2026 - 2:50

score 221 · Answer 11 · 2026-05-05 08:55:14

221

Views

Axes-based equations of conics

Published on 05 May 2026 - 8:55

score 671 · Answer 12 · 2026-03-26 01:27:25

671

Views

Ellipsoid equation: Converting from implicit form to explicit matrix form

Published on 26 Mar 2026 - 1:27

score 92 · Answer 13 · 2026-04-11 21:50:41

92

Views

Law of sines not working in this case! WHY?

Published on 11 Apr 2026 - 21:50

score 239 · Answer 14 · 2026-04-16 10:42:27

An ellipse has foci at $(1, -1)$ and $(2, -1)$ and tangent $x+y-5=0$. Find the point where the tangent touches the ellipse.

score 344 · Answer 15 · 2026-04-09 16:11:20

344

Views

Why is the complex conjugate function (on the upper half plane) not a Möbius transformation?

Published on 09 Apr 2026 - 16:11

List Question

Show that the Plane $P:ax+by+cz=0$ cuts the Cone $C:xy+yz+zx=0$ in perpendicular lines if $\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=0$

How do I find the equation of the corresponding circle?

Proving the angle trisection identity of a limaçon

How would we know which slope to assign $m_1$ and to which $m_2$, while finding angle between two non vertical lines?

Showing two vectors are LD using cross product

Proving that a square is made by connecting point-opposite midpoint in larger square

Fitting a plane to points in three ways

Finding a geolocation that is approximately $d$ distance from a given geolocation

Ellipse inscribed in a circle

$\triangle ABC$ is an equilateral triangle with circumcentre $O(1,2)$ and vertex $A$ lying on the line $5x+2y=4$.Find area of quadrilateral $BCDE$.

Axes-based equations of conics

Ellipsoid equation: Converting from implicit form to explicit matrix form

Law of sines not working in this case! WHY?

An ellipse has foci at $(1, -1)$ and $(2, -1)$ and tangent $x+y-5=0$. Find the point where the tangent touches the ellipse.

Why is the complex conjugate function (on the upper half plane) not a Möbius transformation?

Trending Questions

Popular # Hahtags

Popular Questions