Question

If $ y^2(y^2-6)+x^2-8x+24=0$ and the minimum value of $x^2+y^4$ is $m$ and maximum value is $M$, then find the value of $m$ and $M$

score 202 · Answer 1 · 2026-04-16 00:32:57

202

Views

If $ y^2(y^2-6)+x^2-8x+24=0$ and the minimum value of $x^2+y^4$ is $m$ and maximum value is $M$, then find the value of $m$ and $M$

Published on 16 Apr 2026 - 0:32

score 163 · Answer 2 · 2026-04-09 19:10:56

163

Views

Fast approximate 2D distance formula

Published on 09 Apr 2026 - 19:10

score 127 · Answer 3 · 2026-04-14 02:05:24

127

Views

Solving a triangle by angle, circumradius, and area

Published on 14 Apr 2026 - 2:05

score 58 · Answer 4 · 2026-04-16 09:15:15

58

Views

What is the area of the cusp between two equi-radius circles?

Published on 16 Apr 2026 - 9:15

score 153 · Answer 5 · 2026-04-13 23:34:02

153

Views

Given a line $l$, a line segment $d$, and a point $O$, construct a circle with center $O$ that cuts off a segment congruent to $d$ on the line $l$.

Published on 13 Apr 2026 - 23:34

score 88 · Answer 6 · 2026-04-14 03:21:16

88

Views

Show that $GHI$ is isosceles.

Published on 14 Apr 2026 - 3:21

score 33 · Answer 7 · 2026-04-12 21:36:49

33

Views

Laplace in bounded circle

Published on 12 Apr 2026 - 21:36

score 343 · Answer 8 · 2026-04-09 13:26:47

343

Views

Hard geometry problem: given a triangle with sides 16, 30, 34, find the area of the triangle introduced by the inscribed circle

Published on 09 Apr 2026 - 13:26

score 68 · Answer 9 · 2026-04-09 21:17:57

68

Views

Circumscribed Circle And Inscribed Circle As Minima

Published on 09 Apr 2026 - 21:17

score 105 · Answer 10 · 2026-04-15 19:04:37

105

Views

Centre and radius of the circle $|z-a|/|z-b|=c$

Published on 15 Apr 2026 - 19:04

score 126 · Answer 11 · 2026-04-17 10:10:30

126

Views

One of the two circles $x^2+y^2+\lambda_1(x-y)+c=0$ where $\lambda_1:\lambda_2\in\mathbb R$ and $x^2+y^2+\lambda_2(x-y)+c=0$ lies within the other

Published on 17 Apr 2026 - 10:10

score 174 · Answer 12 · 2026-04-11 02:48:44

174

Views

Another Method to Prove the Circumference of a Circle with Arc Length Integration

Published on 11 Apr 2026 - 2:48

score 51 · Answer 13 · 2026-04-14 01:05:47

51

Views

Parametric expression of curve constructed by single intersection of two circles

Published on 14 Apr 2026 - 1:05

score 53 · Answer 14 · 2026-04-15 12:09:14

53

Views

Why is the distance equal to the height between these two circles?

Published on 15 Apr 2026 - 12:09

score 59 · Answer 15 · 2026-04-13 07:45:21

59

Views

Did I solve this correctly?

Published on 13 Apr 2026 - 7:45

List Question

If $ y^2(y^2-6)+x^2-8x+24=0$ and the minimum value of $x^2+y^4$ is $m$ and maximum value is $M$, then find the value of $m$ and $M$

Fast approximate 2D distance formula

Solving a triangle by angle, circumradius, and area

What is the area of the cusp between two equi-radius circles?

Given a line $l$, a line segment $d$, and a point $O$, construct a circle with center $O$ that cuts off a segment congruent to $d$ on the line $l$.

Show that $GHI$ is isosceles.

Laplace in bounded circle

Hard geometry problem: given a triangle with sides 16, 30, 34, find the area of the triangle introduced by the inscribed circle

Circumscribed Circle And Inscribed Circle As Minima

Centre and radius of the circle $|z-a|/|z-b|=c$

One of the two circles $x^2+y^2+\lambda_1(x-y)+c=0$ where $\lambda_1:\lambda_2\in\mathbb R$ and $x^2+y^2+\lambda_2(x-y)+c=0$ lies within the other

Another Method to Prove the Circumference of a Circle with Arc Length Integration

Parametric expression of curve constructed by single intersection of two circles

Why is the distance equal to the height between these two circles?

Did I solve this correctly?

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