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AP EAMCET20227 Jul 2022Evening ShiftMathematicsEllipseActual

The foci of the ellipse 9 x^2+25 y^2=225 are

Options

  1. A( 4,0)
  2. B( 4 5 , 0 )
  3. C( 12 5 , 0 )
  4. D( 2 5 , 0 )

Correct answer

A. ( 4,0)

Step-by-step solution

Ellipse is 9 x^2+25 y^2=225 aligned & x^2 25 + y^2 9 =1, a=5, b=3 & e= 1- b^2 a^2 = 1- 9 25 = 4 5 aligned Foci are ( a e, 0) ( 4,0)

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