Question

In $\triangle ABC, PA+PB+PC=AB+AC, PE=x, f(x)=x+BE+CE, $then $f(x)$ is mono increasing function

score 65 · Answer 1 · 2026-04-13 22:14:42

65

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In $\triangle ABC, PA+PB+PC=AB+AC, PE=x, f(x)=x+BE+CE, $then $f(x)$ is mono increasing function

Published on 13 Apr 2026 - 22:14

score 42 · Answer 2 · 2026-04-12 00:02:23

42

Views

A problem in analytic geometry

Published on 12 Apr 2026 - 0:02

score 94 · Answer 3 · 2026-04-16 04:11:39

94

Views

Equation of circumcircle formed by $x^2+y^2+2gx+2fy=0$ and $2x+y=1$

Published on 16 Apr 2026 - 4:11

score 117 · Answer 4 · 2026-04-12 23:38:53

117

Views

Family of circles with $AB$ as diameter

Published on 12 Apr 2026 - 23:38

score 582 · Answer 5 · 2026-04-17 11:10:13

582

Views

Finding the Equations of a Circle provided a point and the radius

Published on 17 Apr 2026 - 11:10

score 533 · Answer 6 · 2026-04-10 01:14:34

533

Views

Confusion with implicit equation of straight line

Published on 10 Apr 2026 - 1:14

score 880 · Answer 7 · 2026-04-10 16:03:06

880

Views

Parametrization of a lemniscate

Published on 10 Apr 2026 - 16:03

score 329 · Answer 8 · 2026-04-15 04:49:34

Given the points $A(3, 2)$ and $B(-5,-3)$, what is the product of the coordinates of the midpoint of $\overline{AB}$?

score 111 · Answer 9 · 2026-04-12 08:55:07

111

Views

Is this a coincidence?

Published on 12 Apr 2026 - 8:55

score 113 · Answer 10 · 2026-04-15 19:49:51

113

Views

Find conditions on $C$ and $C^{\prime}$ so that the spirals $r = Ce^{\varphi/a}$ and $r = C^{\prime}e^{\varphi/a}$ are the same

Published on 15 Apr 2026 - 19:49

score 84 · Answer 11 · 2026-04-15 07:00:14

84

Views

Minimization vs. Maximization of the area of a triangle inscribed in a triangle

Published on 15 Apr 2026 - 7:00

score 495 · Answer 12 · 2026-04-16 08:03:01

495

Views

$y^2 = 2a(x+a\sin \frac{x}{a})$ and tangents parallel to $x$ axis

Published on 16 Apr 2026 - 8:03

score 137 · Answer 13 · 2026-04-11 14:46:21

137

Views

Is the intersection of two wedge-shaped regions also wedge-shaped?

Published on 11 Apr 2026 - 14:46

score 67 · Answer 14 · 2026-04-10 03:48:49

67

Views

Calculation of angle between joined line segments

Published on 10 Apr 2026 - 3:48

score 52 · Answer 15 · 2026-04-14 14:25:21

52

Views

Systems Of Equations (Find any other equation in the form $ax + by + cz = k $)

Published on 14 Apr 2026 - 14:25

List Question

In $\triangle ABC, PA+PB+PC=AB+AC, PE=x, f(x)=x+BE+CE, $then $f(x)$ is mono increasing function

A problem in analytic geometry

Equation of circumcircle formed by $x^2+y^2+2gx+2fy=0$ and $2x+y=1$

Family of circles with $AB$ as diameter

Finding the Equations of a Circle provided a point and the radius

Confusion with implicit equation of straight line

Parametrization of a lemniscate

Given the points $A(3, 2)$ and $B(-5,-3)$, what is the product of the coordinates of the midpoint of $\overline{AB}$?

Is this a coincidence?

Find conditions on $C$ and $C^{\prime}$ so that the spirals $r = Ce^{\varphi/a}$ and $r = C^{\prime}e^{\varphi/a}$ are the same

Minimization vs. Maximization of the area of a triangle inscribed in a triangle

$y^2 = 2a(x+a\sin \frac{x}{a})$ and tangents parallel to $x$ axis

Is the intersection of two wedge-shaped regions also wedge-shaped?

Calculation of angle between joined line segments

Systems Of Equations (Find any other equation in the form $ax + by + cz = k $)

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