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TS EAMCET · Maths · Ellipse

If \((1,-2)\) is the focus and \(x+y-2=0\) is the directrix of the ellipse \(17 x^2-2 x y+17 x^2-32 x+76 x+86-0\), then its eccentricity is

  1. A \(\frac{1}{5}\)
  2. B \(\frac{1}{2}\)
  3. C \(\frac{1}{3}\)
  4. D \(\frac{1}{4}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{1}{3}\)

Step-by-step Solution

Detailed explanation

Equation of ellipse whose focus is \((1,-2)\) and equation of directrix \(x+y-2=0\) is…