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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-JEE MAINS-All Questions
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  2. If the chord y=mx+1, of the circle x^2+y^2=1 subtends an angle of meas...

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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 the circle passing through (0, 0) and (1, 0) and touchin...

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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 probabilit...

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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 consist...

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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. int1^2 (dx/(x(x^4+1))) is equal to

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

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  15. The function f(x)=sqrt((a x^3+b x^2+c x+a)) ha sits non-zero local m...

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

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  17. The abscissae of a point, tangent at which to the curve y = e^x sin x...

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  18. Let f(x) be a differentiable function and f(alpha)=f(beta)=0(alpha< be...

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  19. A determinant is chosen at random from the set of all determinant o...

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  20. Let vec a=2 hat i+ hat j+ hat k , hat b= hat i+2 hat j- hat k and a ...

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