Question

Guyssssss!!!!!!••••••••• ❤❤❤❤❤❤❤❤❤❤
Please answer•••••••••••••••••
Its urgent..._____•••---- ❤


Find the equation of latus rectum of the ellipse 9x^2 + y^2 -36 =0

Thnku for help.
.......❤❤

Answer 1

9 x^2 + y^2 = 36

9x^2/36 + y^2/36 = 1

x^2/4 + y^2/36 = 1

As we know latus rectum passes through focus and perpendicular to axis

So it's equation is y = be

As here a= 2

And b = 6
So b>a

So it becomes conjugate ellipse

So a^2 =b^2 ( 1 - e^2 ) is relation

4 = 36 ( 1 - e^2)

1/9 = 1 - e^2

e^2 = 1 - 1/9 = 8/9

e = 2√2/3

So y= be = 12√2/3 = 4√2

So required equation is
y = 4√2

✌✌✌Dhruv✌✌✌✌