5. Find the equation for the ellipse with foci (±√11,0) and semimajor axis a = 6. (a) (c) 36 + + y² 36 y² 25 = 1 = 1 (b) +²=1 (d) + y² 6 = 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5. Find the equation for the ellipse with foci \((\pm\sqrt{11}, 0)\) and semimajor axis \(a = 6\).

Options:

(a) \(\frac{x^2}{25} + \frac{y^2}{36} = 1\)

(b) \(\frac{x^2}{6} + \frac{y^2}{5} = 1\)

(c) \(\frac{x^2}{36} + \frac{y^2}{25} = 1\)

(d) \(\frac{x^2}{5} + \frac{y^2}{6} = 1\)
Transcribed Image Text:5. Find the equation for the ellipse with foci \((\pm\sqrt{11}, 0)\) and semimajor axis \(a = 6\). Options: (a) \(\frac{x^2}{25} + \frac{y^2}{36} = 1\) (b) \(\frac{x^2}{6} + \frac{y^2}{5} = 1\) (c) \(\frac{x^2}{36} + \frac{y^2}{25} = 1\) (d) \(\frac{x^2}{5} + \frac{y^2}{6} = 1\)
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