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MHT CET202016 Oct 2020Evening ShiftMathematicsEllipseActual

The eccentricity of the ellipse y²+4 x²-12 x+6 y+14=0 is

Options

  1. A3 2
  2. B1 3
  3. C1 2
  4. D1 2

Correct answer

A. 3 2

Step-by-step solution

The eccentricity of the ellipse y²+4 x²-12 x+6 y+14=0 is 3 2 . Given ellipse, array l y²+4 x²-12 x+6 y+14=0 4 x²-12 x+y²+6 y+14=0 4 (x²-3 x+ 9 4 )+y²+6 y+9=-14+9+9 4 (x- 3 2 )²+(y+3)²=4 (x- 3 2 )² 1 + (y+3)² 4 =1 array Here, a²=1, b²=4 array l e= 1- a² b² e= 1- 1 4 array

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