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AP EAMCET · Maths · Ellipse

In an ellipse, two vertices are \((5,0)\) and \((0,-4)\). Then the equation of the ellipse is

  1. A \(\frac{x^2}{16}+\frac{y^2}{25}=1\)
  2. B \(\frac{x^2}{25}+\frac{y^2}{16}=1\)
  3. C \(\frac{x^2}{5}+\frac{y^2}{4}=1\)
  4. D \(x^2+y^2=41\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{x^2}{25}+\frac{y^2}{16}=1\)

Step-by-step Solution

Detailed explanation

Equation of ellipse having vertices \((5,0)\) and \((0,-4) \text { is } \frac{x^2}{25}+\frac{y^2}{16}=1\)