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  • What are the coordinates of focii of hyperbola <img alt="\frac{x^{2}}{16}-\frac{y^{2}}{9}=1" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cfrac%7Bx%5E%7B2%7D%7D%7B16%7D-%5Cfrac%7By%5

What are the coordinates of focii of hyperbola \frac{x^{2}}{16}-\frac{y^{2}}{9}=1

Option: 1

\left ( \pm \sqrt{7},0 \right )


Option: 2

\left ( \pm \sqrt{7}/3,0 \right )


Option: 3

\left ( \pm 5,0 \right )


Option: 4

\left ( \pm 3,0 \right )


Answers (1)

best_answer

Here a = 4, b = 3

e=\sqrt{1+\frac{b^2}{a^2}}= \frac{5}{4}

Thus focii are (\pm ae,0)\Rightarrow (\pm 5,0)

Posted by

Rishi

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