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KCET2019MathematicsEllipse

The eccentricity of the ellipse ( 9 x²+25 y²=225 ) is

Options

  1. A( 3 5 )
  2. B( 9 16 )
  3. C( 4 5 )
  4. D( 3 4 )

Correct answer

C. ( 4 5 )

Step-by-step solution

(C) 9 x²+25 y²=225 i.e., 9 x² 225 + 25 y² 225 =1 x² 25 + y² 9 =1 x² 5² + y² 3² =1a=5, b=3c= a²-b² = 5²-3² = 16 =4 Eccentricity e= C a = 4 5

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