elipse over x=y ¿ecuation?

Question

what is the equation of an elipse with mayor axis over x=Y line?

Answer 1

Let as suppose that your ellipse is rotated by 45 degrees to right (or by -45 degrees). The new coordinates are X = x cos (-45) - y sin (-45) and Y = x sin (-45) + y cos (-45) and they are satisfying X^2/a^2 + Y^2/b^2=1. There for (x + y)^2/2a^2 + (x - y)^2/2b^2 = 1 (in a few easy steps). The mayor axis over the x=y is given by |a| > |b| .

Answer 2

take the equation for an ellipse with major axis the-axis, say
x^2/4 + y^2/1 = 1
and rotate by 45 degrees

Answer 3

upload first 2 to get carry of:- 2x = 4 x = 2 replace for x in next 2 equations:- 2 - y - z = a million 2 + y - z = a million Now upload 4 - 2z = 2 z = a million yet x + y + z = 3 for this reason:- 2 + y + a million = 3 y = 0 answer is x = 2, y = 0, z = a million

Answer 4

that does not make sense at all.

if the major axis is the x axis, it's the following:

xsquared/a plus y squared/b = 1

if it's the y axis as the major

ysquared/a plus xsquared/b= 1

Answer 5

Do your own homework.

Answer 6

[(x sin45º)/a]² + [(y sin45º]/b]² = 1 where a>b.