Question

Show that the locus of $P$ as $t$ varies is a circle .

score 229 · Answer 1 · 2020-04-02 10:27:39

229

Views

Show that the locus of $P$ as $t$ varies is a circle .

Published on 02 Apr 2020 - 10:27

score 25 · Answer 2 · 2020-04-02 18:13:47

25

Views

Condition for existance of a triangle with vectors

Published on 02 Apr 2020 - 18:13

score 45 · Answer 3 · 2020-04-03 11:41:49

45

Views

Can an equation of two ratios with an unknown in the numerator and an unknown in the denominator be constrained enough to solve?

Published on 03 Apr 2020 - 11:41

score 325 · Answer 4 · 2026-03-26 01:12:01

325

Views

Prove that the line $XY$ goes through a fixed point where $X,Y$ are on fixed conic so that $\angle XPY = 90$ where $P$ is fixed on the conic.

Published on 26 Mar 2026 - 1:12

score 33 · Answer 5 · 2026-03-30 06:47:39

33

Views

If the edges of a triangle of a triangle are k, l, and m, show that $k^2-lm$ is never a degenerate

Published on 30 Mar 2026 - 6:47

score 533 · Answer 6 · 2020-04-04 02:00:00

533

Views

Find a point that minimizes the sum of distances to n lines (not square distances!).

Published on 04 Apr 2020 - 2:00

score 1k · Answer 7 · 2026-03-30 06:47:37

1k

Views

If the line $ax+by +c = 0$ touches the circle $x^2+y^2 -2x=\frac{3}{5}$ and is normal to $x^2+y^2+2x-4y+1=0$, what is (a,b)?

Published on 30 Mar 2026 - 6:47

score 1.4k · Answer 8 · 2026-03-30 08:36:43

1.4k

Views

Equation of the family of circle which touch the pair of lines $x^2-y^2+2y-1=0$

Published on 30 Mar 2026 - 8:36

score 238 · Answer 9 · 2026-03-26 02:53:52

238

Views

A limited elliptical arc length

Published on 26 Mar 2026 - 2:53

score 70 · Answer 10 · 2020-04-04 14:06:06

70

Views

Rotation in the 3D space

Published on 04 Apr 2020 - 14:06

score 249 · Answer 11 · 2026-03-30 08:36:47

249

Views

Find range of $a$ such that angle between pair of tangents from $(a,a)$ to a circle lies within $(\frac{\pi}{3},\pi)$

Published on 30 Mar 2026 - 8:36

score 67 · Answer 12 · 2026-03-26 21:54:04

67

Views

$ \ \vec a × \vec b = \vec b × \vec c = \vec c × \vec a $ implies existance of a triangle

Published on 26 Mar 2026 - 21:54

score 403 · Answer 13 · 2026-03-26 03:12:54

403

Views

Locus of intersecting perpendicular tangents of conic, using polar coordinates

Published on 26 Mar 2026 - 3:12

score 71 · Answer 14 · 2020-04-05 00:14:19

71

Views

How was this circle formula be simplified?

Published on 05 Apr 2020 - 0:14

score 51 · Answer 15 · 2020-04-05 13:39:54

51

Views

Is there a nice analytic criterion when does three normals of three points on the same conic section meet at the same point?

Published on 05 Apr 2020 - 13:39

List Question

Show that the locus of $P$ as $t$ varies is a circle .

Condition for existance of a triangle with vectors

Can an equation of two ratios with an unknown in the numerator and an unknown in the denominator be constrained enough to solve?

Prove that the line $XY$ goes through a fixed point where $X,Y$ are on fixed conic so that $\angle XPY = 90$ where $P$ is fixed on the conic.

If the edges of a triangle of a triangle are k, l, and m, show that $k^2-lm$ is never a degenerate

Find a point that minimizes the sum of distances to n lines (not square distances!).

If the line $ax+by +c = 0$ touches the circle $x^2+y^2 -2x=\frac{3}{5}$ and is normal to $x^2+y^2+2x-4y+1=0$, what is (a,b)?

Equation of the family of circle which touch the pair of lines $x^2-y^2+2y-1=0$

A limited elliptical arc length

Rotation in the 3D space

Find range of $a$ such that angle between pair of tangents from $(a,a)$ to a circle lies within $(\frac{\pi}{3},\pi)$

$ \ \vec a × \vec b = \vec b × \vec c = \vec c × \vec a $ implies existance of a triangle

Locus of intersecting perpendicular tangents of conic, using polar coordinates

How was this circle formula be simplified?

Is there a nice analytic criterion when does three normals of three points on the same conic section meet at the same point?

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