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If (1+x-3x^2)^2145 = a0+a1 x+a2 x^2+... ...

If `(1+x-3x^2)^2145 = a_0+a_1 x+a_2 x^2+...` then `a_0-a_1+a_2-..` ends with

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ALLEN -TEST PAPERS-MATHEMATICS
  1. Consider (1+x)^(n+1)=A(0)+A(1)x+A(2)x^(2)+………………+A(n+1)x^(n+1) and a...

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  2. Consider (1+x)^(n+1)=A(0)+A(1)x+A(2)x^(2)+………………+A(n+1)x^(n+1) and a...

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  3. If (1+x-3x^2)^2145 = a0+a1 x+a2 x^2+... then a0-a1+a2-.. ends with

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  4. Sum of all the digits of the coefficient of x^(5) in the expansion of ...

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  5. If the ratio of the coefficient of x^(10) in (1-x^(2))^(10) and term i...

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  6. If the sum sum(k=1)^(2008)k.^(2008)C(k) can be expressed as 2^(m)I whe...

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  7. In the expansion of (5^(1//2)+7^(1//8))^(1024) if the number of integr...

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  8. If sum(r=0)^(10)r.^(10)C(x).3^(4).(-2)^(10-r)=S, then S/10 is equal to

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  9. If f(x) is defined in -1lexle3 in the figure as shown then choose corr...

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  10. If f(x)={(-4sinx+cosx, "for",xle-(pi)/2),(a sin x+b,"for",-(pi)/2ltxlt...

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  11. Which of the following function is continuous everywhere but not diffe...

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  12. If I(x)=int(sinx-cosx)/(|sinx-cosx|)dx, where (pi)/4ltxlt(3pi)/8 and (...

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  13. Let f(x)={(sin(pix)/2, -2lexlt0),(({x})^(2),0lexlt1),(([x]),1lexle2):}...

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  14. A differentiable function f:RtoR such that f(x)=x^(3)+x^(2)f'(1)+xf''(...

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  15. If f(x) is derivable at x=3 and f'(3)=2, then value of lim(hto0)(f(3+h...

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  16. If int tan^(5)x dx=Atan^(4)x+Btan^(2)x+g(x)+C, where C is constant of ...

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  17. g:[0,pi]toR is defined as g(x)={("max"{"sin"x,1/2},"where",x epsilon[0...

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  18. g:[0,pi]toR is defined as g(x)={("max"{"sin"x,1/2},"where",x epsilon[0...

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  19. Graph of y=f(x) is shown in the adjacent figure Value of lim(0^(...

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  20. Graph of y=f(x) is shown in the adjacent figure value of (xto1^(...

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