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Lilmike234

  • one year ago

Which of the following equations represents a degenerate ellipse? 9x^2 +4y^2 = 1 x^2 y^2 ---- + ---- = 2 14 19 x^2 y^2 ----- = (-) ---- 10 18 All of the above are degenerate ellipses.

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  1. Loser66
    • one year ago
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    What do you think?

  2. lilmike234
    • one year ago
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    The third option

  3. Loser66
    • one year ago
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    why?

  4. lilmike234
    • one year ago
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    I honestly just guessed

  5. Loser66
    • one year ago
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    ok, the first one is the formula of a circle \((3x)^2+(2y)^2=1\) That shows the last one is NOT the correct answer.

  6. Loser66
    • one year ago
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    The third one is \(\dfrac{x^2}{10}=-\dfrac{y^2}{18}\) add \(\dfrac{y^2}{18}\) both sides, what do you get?

  7. lilmike234
    • one year ago
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    y^2 ?

  8. Loser66
    • one year ago
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    nope it becomes \(\dfrac{x^2}{10}+\dfrac{y^2}{18}=0\) The standard formula of an ellipse has the right hand side =1, NOT =0, hence the third option is NOT the correct answer.

  9. lilmike234
    • one year ago
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    So it would be the first option right ?

  10. Loser66
    • one year ago
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    the second one.

  11. lilmike234
    • one year ago
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    I was right it was the third option

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