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Question: Answered & Verified by Expert
In an ellipse, two vertices are \((5,0)\) and \((0,-4)\). Then the equation of the ellipse is
MathematicsEllipseAP EAMCETAP EAMCET 2020 (18 Sep Shift 1)
Options:
  • A \(\frac{x^2}{16}+\frac{y^2}{25}=1\)
  • B \(\frac{x^2}{25}+\frac{y^2}{16}=1\)
  • C \(\frac{x^2}{5}+\frac{y^2}{4}=1\)
  • D \(x^2+y^2=41\)
Solution:
1679 Upvotes Verified Answer
The correct answer is: \(\frac{x^2}{25}+\frac{y^2}{16}=1\)
Equation of ellipse having vertices \((5,0)\) and
\((0,-4) \text { is } \frac{x^2}{25}+\frac{y^2}{16}=1\)

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