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9x^2+4y^2 = 36

The foci are located at:

a.(-√5, 0) and (√5, 0)
b.(-√13, 0) and (√13, 0)
c.(0, -√5) and (0, √5)


I already tried once, and (b) is wrong.

Respuesta :

Nevens
the answer is c
hope this would help you
Ver imagen Nevens
xero099

Answer:

c.(0, -√5) and (0, √5)

Step-by-step explanation:

The equation represents an ellipse centered on origin (0,0). First, the formula is rearranged to its cannonical form:

[tex]\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1[/tex]

The foci are located in the lines of the semimajor axes, so, the distance between the center and any of the foci is:

[tex]c = \sqrt{9 - 4}[/tex]

[tex]c = \sqrt{5}[/tex]

The foci are located at [tex](0, -\sqrt{5})[/tex] and [tex](0,\sqrt{5})[/tex]. Hence, the answer is C.

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