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Find the sum of the coefficients of all the integral powers of `x` in the expansion of `(1+2sqrt(x))^(40)dot`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The coefficient of x^6 in series e^(2x) is 4/(25) b. 3/(45) c. 2/(45) ...

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  2. If the chord y=m x+1 of the circles x^2+y^2=1 subtends an angle of 45^...

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  3. Find the sum of the coefficients of all the integral powers of x in th...

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  4. Find the sum of the following infinite series 1/2(1/5)^2+2/3(1/5)^3...

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  5. The centre of a circle passing through (0,0), (1,0) and touching the C...

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  6. If an=sum(r=0)^n1/(^n Cr) , then sum(r=0)^n r/(^n Cr) equals (n-1)an b...

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  7. Prove that :(log)e((x+1)/x)=2[1/((2x+1))+1/(3(2x+1)^3)+1/(5(2x+1)^5)+]

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  8. Two aeroplanes I and II bomb a target in succession. The probabilitie...

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  9. The lines 3x+4y=9&4x-3y+12=0 intersect at Pdot The first line intersec...

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  10. If alpha,beta are the roots of the equation x^2-p x+q=0, prove that (l...

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  11. A bag initially contains 1 red and 2 blue balls. An experiment consi...

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  12. If the circles x^2+y^2-2x-2y-7=0 and x^2+y^2+4x+2y+k=0 cut orthogonall...

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  13. The length of transverse common tangent of the circles x^2+y^2=1and(x-...

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  14. The function f(x)=sqrt(a x^3+b x^2+c x+d) has its non-zero local mini...

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  15. The area of the region given by x^2+y^2-6y<=0&y<=x is (9pi-9)/4 b. ...

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  16. Let f(x) be a differentiable function and f(a)=f(b)=0 (alpha ltbeta), ...

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  17. A determinant is chosen at random from the set of the determinants of ...

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  18. Let vec a=2 hati+hat j+ hat k , vec b=hat i+2hat j- hatk and a unit v...

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  19. A die is rolled 4 times. The probability of getting a larger number ...

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  20. If (d)/(dx)((1+x^2+x^4)/(1+x+x^2)) = a+bx , find the values of a and ...

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