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(1+2/3+6/3^2+10/3^3+. . . + oo)^(log(0.2...

`(1+2/3+6/3^2+10/3^3+. . . + oo)^(log_(0.25)(1/3+1/3^2+1/3^3+. . . +oo))` is equal L and then find `L^2`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Let alpha , beta , gamma and delta be the roots of x^4+x^3+x^2+x+1=0 t...

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  2. All words formed by arranging the letters of word "MANKIND" are placed...

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  3. (1+2/3+6/3^2+10/3^3+. . . + oo)^(log(0.25)(1/3+1/3^2+1/3^3+. . . +oo))...

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  4. Find the locus of the centroid formed by any point P on hyperbola and ...

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  6. Equation of plane containing the straight line x/2=y/3=z/4 and perpend...

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  7. Argument of z=1+e^(i ((6pi)/5) is equal to :

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  8. Let Q be the foot of the tower PQ and R cuts the tower such that RQ=15...

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  9. The number of solution of solution of x in [-4pi,4pi] of the equation ...

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  10. Given curve C1=x^2+(y-1)^2=1, then locus of centre of circle which tou...

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  11. Which of the following is tautology ?

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  12. If a fair die is thrown two times and alpha , beta are numbers on it ...

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  13. Let f:{1,2,3,4} to {1,2,3,4,5,6} , then number of functions for which ...

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  14. If lim(x to oo) sqrt(x^2-x-1)+alpha x + beta=0, then abs(8(alpha+beta)...

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  16. For any real number x, let [x] denote the largest integer less than or...

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  19. The general solution of (x-y^2)dx+y(5x+y^2)dy=0 is

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  20. The number of bijective function f(1,3,5,7, . . .,99) to (2,4,6,8,. . ...

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