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ALLEN-TEST PAPERS-MATHEMATICS
- If n is positive integer show that 9^n+7 is divisible 8
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- Consider expansion of (1+x)^(200)=a(0)+a(1)x+a(2)x^(2)+………+a(200)x^(20...
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- Find the coefficient of x^5 in the expansion of (1+x^2)^5(1+x)^4.
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- In the expansion of (5^(1//2)+7^(1//8))^(1024), the number of integral...
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- Find underset(r=0) overset(10)sumr^ (10)C(r).3^(r).(-2)^(10-r)
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- If f(x) is defined in -1lexle3 in the figure as shown then choose corr...
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- If f(x)={(-4sinx+cosx, "for",xle-(pi)/2),(a sin x+b,"for",-(pi)/2ltxlt...
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- Which of the following function is continuous everywhere but not diffe...
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- If I(x)=int(sinx-cosx)/(|sinx-cosx|)dx, where (pi)/4ltxlt(3pi)/8 and (...
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- f:RrarrR,f(x)=x^(3)+x^(2)f'(1)+xf''(2)+f'''(3)" for all "x in R. The...
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- If f(x) is derivable at x=3 and f'(3)=2, then value of lim(hto0)(f(3+h...
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- If int tan^(5) x dx = A tan^(4)x + B tan^(2) x+ g (x)+C, then
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- g:[0,pi]toR is defined as g(x)={("max"{"sin"x,1/2},"where",x epsilon[0...
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- g:[0,pi]toR is defined as g(x)={("max"{"sin"x,1/2},"where",x epsilon[0...
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- Graph of y=f(x) is shown in the adjacent figure Value of lim(0^(...
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- If f(x)=|x-1|+|x-3|,then value of f'(2) is equal to
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- if y=(secx+tanx-1)/((-secx)+tanx+1), then find(dy)/(dx) at x=(pi)/(4).
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- Let u(x) and v(x) are differentiable function such that (u(x))/(v(x))=...
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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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- The number of solution of the equation 2(tanx-sinx)+3(cotx-cosx)+5=0x ...
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