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MHT CET202012 Oct 2020Evening ShiftMathematicsEllipseActual

The eccentricity of the ellipse given by the equation 9 x²+16 y²=144 is

Options

  1. A7 4
  2. B1 4
  3. C3 4
  4. D5 4

Correct answer

A. 7 4

Step-by-step solution

Given equation of an ellipse is array l 9 x ²+16 y ²=144 9 x ² 144 + 16 y ² 144 = 144 144 x ² 16 + y ² 9 =1 array array l Here, a²=16, b²=9 [ a²>b² ] Eccentricity (e)= 1- b² a² = 1- 9 16 = 7 16 = 7 4 . array

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