Question

the length of the latest rectum of the ellipse 9 X square + 4 y square equals to 1 ​

Answer 1

Answer:

hey mate here is your answer

Step-by-step explanation:

9x+4y=1

4a is latus rectum.

Hope it will help you please mark my answer as a brainliast

Answer 2

The length of the latus rectum of the ellipse is 1.125

Step-by-step explanation:

The given equation for ellipse is

$9x^2+4y^2=1$

We can rewrite this equation as

$\frac{x^2}{1/9}+\frac{y^2}{1/4}=1$

Comparing this equation with the general form of an ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$

$a=\frac{1}{9},b=\frac{1}{4}$

The length of a latus rectum is given by

$\frac{2b^2}{a}\\\\=\frac{2\cdot\frac{1}{16}}{\frac{1}{9}}\\\\=\frac{9}{8}\\\\=1.125$

#Learn More:

The latus rectum of the ellipse 5x^2+9y^2=45 is

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