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e^(2x)-11 e^x-45/e^x+81/2=0 , if the sum...

`e^(2x)-11 e^x-45/e^x+81/2=0` , if the sum of roots is `lnP` then find the value of `P`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. int ((x^2+1)e^x)/(x+1)^2=f(x)e^x. Find (d^3f)/(dx^3) at x=1

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  2. abs((14,28,-14),(-14,14,28),(28,-14,14))=abs(adj(adj(A))), then abs(A)...

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  3. e^(2x)-11 e^x-45/e^x+81/2=0 , if the sum of roots is lnP then find the...

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  4. In total of 16 cubes , 11 are red and 5 are blue , then number of arra...

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  5. A rectangle is inscribed in a circle with diameter 2x+4=y and two vert...

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  6. Let the direction ratio's of two lines are roots of the equation l+m-n...

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  7. If the coefficient of x^10 in the expansion of (x^(1/2)/5^(1/4) +5^(1/...

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  8. Which of the follwoing is logically equivalent to ~(p wedge q) vv q

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  9. The value of cot(sum(n=1)^50 tan^-1((1)/(1+n+n^2))) is equal to

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  10. If S=2+6/7+12/7^2+20/7^3+. . . then find 4S

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  11. The number of complex number z satisfying abs(z-(4+3i))=2 and absz +ab...

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  12. Which of the following is a tautology ?

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  13. Let A be a 2 xx 2 matrix , whose entries are taken from the set {0,1,2...

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  14. alpha = sin 36^@ is root of which of the following equation

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  15. Mean and Variance of 4 , 5 , 6 , 6 , 7 , 8 , x , y is 6 and 9/4 then f...

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  16. AB =I , detA=1/8 then find the value of det(adj(B adj 2A)) when A is 3...

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  17. (tan^-1 y-x)dy = (1+y^2)dx is the differential equation at (1,0) then ...

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  18. If a1 , a2 , a3 . . . and b1 , b2 ,b3 ... are two A.P. and a1=2 , a(10...

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  19. f(x)=int0^(x^2)(t^2-5t+4)/(2+e^t)dt Find the number of points of local...

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  20. If f is differentiable function such that intcos x^1 t^2 f(t) dt =sin^...

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