Question

Which are the foci of the ellipse represented by25x²+9y²=225?

a) (±3,0)
b) (±5,0)
c) (0,±3)
d) (0,±5)

Answer 1

The foci of the ellipse represented by the equation 25x²+9y²=225 are (±3,0).

Step-by-step explanation:

The foci of the ellipse represented by the equation 25x²+9y²=225 are (±3,0).

To find the foci of an ellipse, we need to use the formula c = sqrt(a² - b²), where a is the length of the semi-major axis and b is the length of the semi-minor axis. In this case, a = 5 and b = 3. Plugging these values into the formula, we get c = sqrt(25 - 9) = sqrt(16) = 4.

Therefore, the foci of the ellipse are located at (±3,0).