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Using $2\pi\sqrt{\frac{a^2+b^2}{2}}$ to approximate the circumference of an ellipse

score 1.4k · Answer 1 · 2020-04-17 15:18:23

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Using $2\pi\sqrt{\frac{a^2+b^2}{2}}$ to approximate the circumference of an ellipse

Published on 17 Apr 2020 - 15:18

score 1.5k · Answer 2 · 2026-03-26 06:31:51

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A variable parabola touches the $x$-axis and $y$-axis at $A(1,0)$ and $B(0,1)$. Find the locus of its focus.

Published on 26 Mar 2026 - 6:31

score 267 · Answer 3 · 2020-04-18 13:49:34

267

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Maximise area of ellipse inscribed inside an isosceles triangle

Published on 18 Apr 2020 - 13:49

score 1.6k · Answer 4 · 2026-04-03 00:00:27

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If two tangents can be drawn to different tangents of a hyperbola $\frac{x^2}{1}-\frac{y^2}{4}=1$ from the point $(a,a^2)$, then find range of $a$

Published on 03 Apr 2026 - 0:00

score 1.7k · Answer 5 · 2020-04-18 19:41:54

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Pair of tangents from point $(2\sqrt2,1)$ to hyperbola $\frac{x^2}{a^2} -\frac{y^2}{b^2} = 1$

Published on 18 Apr 2020 - 19:41

score 87 · Answer 6 · 2020-04-20 15:49:53

87

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Poles and normals of an ellipse

Published on 20 Apr 2020 - 15:49

score 399 · Answer 7 · 2026-04-03 03:16:09

399

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Rotation of Ellipse using Eigenvectors

Published on 03 Apr 2026 - 3:16

score 42 · Answer 8 · 2020-04-23 05:54:51

42

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Reducing $y=\sqrt{x^2 + r^2 - 2 r x g} + x g$ to a standard conic equation

Published on 23 Apr 2020 - 5:54

score 318 · Answer 9 · 2020-04-23 17:04:29

318

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Minimum Separating Distance Between Two Ellipsoids

Published on 23 Apr 2020 - 17:04

score 61 · Answer 10 · 2026-04-03 03:21:49

61

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What is the conic equation in the problem of the square inscribed in a triangle?

Published on 03 Apr 2026 - 3:21

score 273 · Answer 11 · 2020-04-24 11:31:44

273

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Find an ellipse tangent to triangle given centre position of the ellipse

Published on 24 Apr 2020 - 11:31

score 61 · Answer 12 · 2020-04-24 19:33:55

Given an ellipse and two points inside it (other than its foci) construct another ellipse tangent to the given one, using the 2 points as foci.

score 174 · Answer 13 · 2020-04-25 00:27:34

174

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Finding the eccentricity and the semi-major axis

Published on 25 Apr 2020 - 0:27

score 1.4k · Answer 14 · 2020-04-26 07:24:15

1.4k

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Two concentric ellipses be such that the foci of one lie on the other ellipse

Published on 26 Apr 2020 - 7:24

score 118 · Answer 15 · 2020-04-26 13:52:38

118

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Area bounded by a region in ellipse.

Published on 26 Apr 2020 - 13:52

List Question

Using $2\pi\sqrt{\frac{a^2+b^2}{2}}$ to approximate the circumference of an ellipse

A variable parabola touches the $x$-axis and $y$-axis at $A(1,0)$ and $B(0,1)$. Find the locus of its focus.

Maximise area of ellipse inscribed inside an isosceles triangle

If two tangents can be drawn to different tangents of a hyperbola $\frac{x^2}{1}-\frac{y^2}{4}=1$ from the point $(a,a^2)$, then find range of $a$

Pair of tangents from point $(2\sqrt2,1)$ to hyperbola $\frac{x^2}{a^2} -\frac{y^2}{b^2} = 1$

Poles and normals of an ellipse

Rotation of Ellipse using Eigenvectors

Reducing $y=\sqrt{x^2 + r^2 - 2 r x g} + x g$ to a standard conic equation

Minimum Separating Distance Between Two Ellipsoids

What is the conic equation in the problem of the square inscribed in a triangle?

Find an ellipse tangent to triangle given centre position of the ellipse

Given an ellipse and two points inside it (other than its foci) construct another ellipse tangent to the given one, using the 2 points as foci.

Finding the eccentricity and the semi-major axis

Two concentric ellipses be such that the foci of one lie on the other ellipse

Area bounded by a region in ellipse.

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