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AP EAMCET202123 Aug 2021Morning ShiftMathematicsEllipseActual

The point (1,3) with respect to the ellipse 4 x^2+9 y^2-16 x-54 y+61=0 lies

Options

  1. Aoutside the ellipse
  2. Bon the ellipse
  3. Con the minor axis
  4. Don the major axis

Correct answer

D. on the major axis

Step-by-step solution

Given, equation of ellipse is 4 x^2+9 y^2-16 x-54 y+61=0 It can be written as, (x-2)^2 9 + (y-3)^2 4 =1 Centre of ellipse (2,3) . vertex are (5,3),(-1,3) Focus are (2+ 5 , 3),(2- 5 , 3) (1,3) lies on major axis.

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