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AP EAMCET · Maths · Ellipse

An ellipse having the coordinate axes as its axes and its major axis along \(Y\)-axis, passes through the point \((-3,1)\) and has eccentricity \(\sqrt{\frac{2}{5}}\). Then its equation is

  1. A \(3 x^2+5 y^2-15=0\)
  2. B \(5 x^2+3 y^2-32=0\)
  3. C \(3 x^2+5 y^2-32=0\)
  4. D \(5 x^2+3 y^2-48=0\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(3 x^2+5 y^2-32=0\)

Step-by-step Solution

Detailed explanation

Let the equation of ellipse is…