Question

Intersection of perpendicular tangent lines - generalization of directrix?

score 76 · Answer 1 · 2023-03-31 18:28:50

76

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Intersection of perpendicular tangent lines - generalization of directrix?

Published on 31 Mar 2023 - 18:28

score 171 · Answer 2 · 2023-04-17 09:45:23

171

Views

Locus of intersection of normals of hyperbola

Published on 17 Apr 2023 - 9:45

score 90 · Answer 3 · 2023-05-08 11:26:21

90

Views

How to Prove the Apollonius Circle?

Published on 08 May 2023 - 11:26

score 109 · Answer 4 · 2023-05-10 17:30:13

109

Views

Proving the locus of $P_k$ is an ellipse.

Published on 10 May 2023 - 17:30

score 49 · Answer 5 · 2023-06-10 16:28:46

49

Views

Locus of a point Question

Published on 10 Jun 2023 - 16:28

score 111 · Answer 6 · 2023-06-14 15:04:55

111

Views

Showing that in a triangle $ABC$, $\angle ABC = 60°$ , the following intersection points, and points $B$, and $C$ lie on the same circle

Published on 14 Jun 2023 - 15:04

score 92 · Answer 7 · 2023-06-19 01:11:48

92

Views

What is the locus of points in the plane $\{v : v \cdot (v-a) = 0\}$ for fixed $a$?

Published on 19 Jun 2023 - 1:11

score 109 · Answer 8 · 2023-07-02 18:51:11

109

Views

Find locus of all points that its sum of squares of distance between them and point $A(x_A,y_A)$ and $B(x_B,y_B)$ equals to $k$.

Published on 02 Jul 2023 - 18:51

score 68 · Answer 9 · 2023-08-19 11:08:03

68

Views

Parabolas and Loci

Published on 19 Aug 2023 - 11:08

score 95 · Answer 10 · 2023-08-27 06:59:14

95

Views

$z_1, z_2, z_3\in\mathbb C$ satisfy $|z_1-3|=|z_2-3|=|z_3-3|$ and $\arg(\frac{z_3-z_1}{z_2-z_1})=\pi/6$, compute $z_2^2+z_3^2-3z_2-3z_3-z_2z_3+10$

Published on 27 Aug 2023 - 6:59

score 71 · Answer 11 · 2023-08-31 11:35:17

Points $A,B,C$ are given, find a line and a point such that distance of $A,B,C$ from that line is equal to distance of $A,B,C$ from that point.

score 199 · Answer 12 · 2026-02-24 04:46:19

199

Views

Finding $z \in \mathbb{C}$, with $z \neq -1, i$, such that $\operatorname{arg}(z+1)=\operatorname{arg}(z-i)$.

Published on 24 Feb 2026 - 4:46

score 304 · Answer 13 · 2023-10-29 07:05:41

304

Views

Locus of midpoint of chord of an ellipse whose length is constant

Published on 29 Oct 2023 - 7:05

score 68 · Answer 14 · 2023-10-31 10:38:13

A is a given point and P is any point on a given straight line. If AQ = AP and AQ makes a constant angle with AP, find the locus of Q.

score 89 · Answer 15 · 2026-02-23 13:42:11

89

Views

The midline of a triangle

Published on 23 Feb 2026 - 13:42

List Question

Intersection of perpendicular tangent lines - generalization of directrix?

Locus of intersection of normals of hyperbola

How to Prove the Apollonius Circle?

Proving the locus of $P_k$ is an ellipse.

Locus of a point Question

Showing that in a triangle $ABC$, $\angle ABC = 60°$ , the following intersection points, and points $B$, and $C$ lie on the same circle

What is the locus of points in the plane $\{v : v \cdot (v-a) = 0\}$ for fixed $a$?

Find locus of all points that its sum of squares of distance between them and point $A(x_A,y_A)$ and $B(x_B,y_B)$ equals to $k$.

Parabolas and Loci

$z_1, z_2, z_3\in\mathbb C$ satisfy $|z_1-3|=|z_2-3|=|z_3-3|$ and $\arg(\frac{z_3-z_1}{z_2-z_1})=\pi/6$, compute $z_2^2+z_3^2-3z_2-3z_3-z_2z_3+10$

Points $A,B,C$ are given, find a line and a point such that distance of $A,B,C$ from that line is equal to distance of $A,B,C$ from that point.

Finding $z \in \mathbb{C}$, with $z \neq -1, i$, such that $\operatorname{arg}(z+1)=\operatorname{arg}(z-i)$.

Locus of midpoint of chord of an ellipse whose length is constant

A is a given point and P is any point on a given straight line. If AQ = AP and AQ makes a constant angle with AP, find the locus of Q.

The midline of a triangle

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