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- 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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- If (1+x-3x^2)^2145 = a0+a1 x+a2 x^2+... then a0-a1+a2-.. ends with
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- Sum of all the digits of the coefficient of x^(5) in the expansion of ...
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- If the ratio of the coefficient of x^(10) in (1-x^(2))^(10) and term i...
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- In the expansion of (5^(1//2)+7^(1//8))^(1024) if the number of integr...
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- If f(x)={(-4sinx+cosx, "for",xle-(pi)/2),(a sin x+b,"for",-(pi)/2ltxlt...
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- If int tan^(5)x dx=Atan^(4)x+Btan^(2)x+g(x)+C, where C is constant of ...
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- Let y=(secx+tanx-1)/(tanx-secx+1).If ((dy)/(dx))(x=(pi)/4)=a+sqrt(b), ...
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- Let T(n) and S(n) be the nth term and sum of first n tems of a series ...
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- If alpha and beta are the roots of x^(2)+4x+6=0 and N=1/((alpha)/(beta...
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- If roots of 2(x-a)(x+b)+c=0 are alpha and beta roots of (x-alpha)(x-be...
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- If T(n) and t(n) be the nth term of two AP's respectively and the rati...
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- Suppose a and b are integers such that x^(2)+ax+b+1=0 has positive int...
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- If f'(x^(2))=(ln x)/(x^(2)) and f(1)=-1/4 then which of the following ...
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- If alpha=3sin^(-1)(2/3) and beta=2cos^(-1)(1/3) then which of the foll...
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- For a continuous function f(x), equation f(x)=0 has 4 distinct solutio...
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- If f(x)={((sinx+cosx)^(cosecx),-(pi)/2ltxlt0),(a,x=0),((e^(1/x)+e^(2/x...
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- If f(x) is a monic polynomial of degree '3' such that lim(x to 0) (1+f...
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- Let there are two functions defined of f(x)="min"{|x|,|x-1|} on the...
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- Let there are two functions defined of f(x)="min"{|x|,|x-1|,|x+1+] ...
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