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The ends of the major axis of ellipse are (-2,4) and (2,1) . If the point (1,3) lies on the ellipse. Then:

Options

  1. AThe length of major axis is equal to 10 .
  2. BThe length of minor axis is equal to 10 24 .
  3. CThe length of latus rectum of ellipse is 5 6 .
  4. DSquare of the distance between the focii of ellipse is 125 6 .

Correct answer

D. Square of the distance between the focii of ellipse is 125 6 .

Step-by-step solution

aligned & 2 a= 16+9 =5 & C (0, 5 2 ) & F₁ [2 e, 5 2 (5-3 e) ] & F₂ [-2 e, 1 2 (5+3 e) ] aligned aligned & P F₁+P F₂=2 a & e^2= 5 6 e= 5 6 & aligned b^2= 25 4 , now verify all the options.

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