Question

HELP ASAP! Which lines are the directrices of the ellipse?

Answer 1

x=3.25 and x=9.25 is the answer

Answer 2

Answer: Second option is correct.

Explanation:

Since we have given that

The equation of ellipse of the given figure is :

`((x-3)^2)/(25)+((y-2)^2)/(9)=1`

So, the major axis = 5 units = a

minor axis = 3 units = b

So, the formula for directrices would be

`x=h\pm (a^2)/(c)\\\\here,\ c=√(a^2-b^2)\\\\c=√(25-9)\\\\c=√(16)\\\\c=4\\\\x=3+(25)/(4)\\\\x=9.25\\\\and\\x=3-(25)/(4)\\\\x=-3.25`

Hence, the directrices of the ellipse would be

x = 9.25 and x = -3.25

Thus, Second option is correct.