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Solution


Q.

Let the length of the latus rectum of an ellipse x2a2+y2b2=1, (a>b), be 30. If its eccentricity is the maximum value of the function f(t)=-34+2t-t2, then (a2+b2) is equal to                    [2026]
1 256  
2 516  
3 276  
4 496  

Ans.

(4)