Question

Is $\frac{x^2}{a^2}+\frac{y^2}{b^2} = \frac{y}{b}$ the equation of an ellipse? Shouldn't it be $\frac{x^2}{a^2}+\frac{y^2}{b^2} = 1$?

score 724 · Answer 1 · 2019-11-08 04:42:29

Is $\frac{x^2}{a^2}+\frac{y^2}{b^2} = \frac{y}{b}$ the equation of an ellipse? Shouldn't it be $\frac{x^2}{a^2}+\frac{y^2}{b^2} = 1$?

score 40 · Answer 2 · 2026-04-01 14:38:37

Finding parameter $k$ for which $\left(x-\frac{1}{2}\right)^2+\left(y+\frac{1}{2}\right)^2= \frac18k^2(x+y+1)^2$ is an equation of an ellipse

score 50 · Answer 3 · 2026-03-25 07:57:19

50

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Extrapolate $y^2=4x^2-4x^4$ from plot

Published on 25 Mar 2026 - 7:57

score 415 · Answer 4 · 2019-11-08 17:21:06

415

Views

How to construct a parabola given its focus and two points on it

Published on 08 Nov 2019 - 17:21

score 308 · Answer 5 · 2019-11-09 11:15:19

308

Views

What is the name of the circle with minor axis of an ellipse as its diameter?

Published on 09 Nov 2019 - 11:15

score 278 · Answer 6 · 2019-11-09 13:37:48

278

Views

Reasoning behind the $y$ coordinate of a point on an ellipse in the parametric form

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score 100 · Answer 7 · 2019-11-10 08:33:52

100

Views

A doubt in Geometrical Similarity of Hyperbolas

Published on 10 Nov 2019 - 8:33

score 3.9k · Answer 8 · 2026-03-26 23:10:40

3.9k

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If a variable chord of the hyperbola subtend a right angle at the centre, find the radius of the circle it is tangent to

Published on 26 Mar 2026 - 23:10

score 3.4k · Answer 9 · 2026-03-26 23:10:38

3.4k

Views

Find the focus of a parabola that touches $x=0$, $y=0$, $x-y+1=0$, and $-2x-y-8=0$.

Published on 26 Mar 2026 - 23:10

score 100 · Answer 10 · 2026-02-27 23:47:00

100

Views

If $3\omega^2-2n\omega\psi+\psi^2+1=0$ has a rational solution then it has an integer solution?

Published on 27 Feb 2026 - 23:47

score 1.5k · Answer 11 · 2019-11-12 06:31:52

1.5k

Views

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Published on 12 Nov 2019 - 6:31

score 147 · Answer 12 · 2026-03-25 16:08:15

147

Views

Find equation of tangential plane at a given point of a surface

Published on 25 Mar 2026 - 16:08

score 946 · Answer 13 · 2019-11-13 03:06:48

946

Views

Area bounded by a parabola and its chord is equal to two-thirds of area of bounding paralellogram

Published on 13 Nov 2019 - 3:06

score 834 · Answer 14 · 2026-03-26 23:10:54

834

Views

Eccentric angles of points of contact of two parallel tangents in an ellipse

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score 1.7k · Answer 15 · 2026-03-29 05:34:12

1.7k

Views

5 points determine uniquely a conic

Published on 29 Mar 2026 - 5:34

List Question

Is $\frac{x^2}{a^2}+\frac{y^2}{b^2} = \frac{y}{b}$ the equation of an ellipse? Shouldn't it be $\frac{x^2}{a^2}+\frac{y^2}{b^2} = 1$?

Finding parameter $k$ for which $\left(x-\frac{1}{2}\right)^2+\left(y+\frac{1}{2}\right)^2= \frac18k^2(x+y+1)^2$ is an equation of an ellipse

Extrapolate $y^2=4x^2-4x^4$ from plot

How to construct a parabola given its focus and two points on it

What is the name of the circle with minor axis of an ellipse as its diameter?

Reasoning behind the $y$ coordinate of a point on an ellipse in the parametric form

A doubt in Geometrical Similarity of Hyperbolas

If a variable chord of the hyperbola subtend a right angle at the centre, find the radius of the circle it is tangent to

Find the focus of a parabola that touches $x=0$, $y=0$, $x-y+1=0$, and $-2x-y-8=0$.

If $3\omega^2-2n\omega\psi+\psi^2+1=0$ has a rational solution then it has an integer solution?

How to derive the formula to determine the length of chord intercepted by a parabola on a line?

Find equation of tangential plane at a given point of a surface

Area bounded by a parabola and its chord is equal to two-thirds of area of bounding paralellogram

Eccentric angles of points of contact of two parallel tangents in an ellipse

5 points determine uniquely a conic

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