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MODERN PUBLICATION-MOCK TEST PAPER -III-SELECT THE CORRECT ANSWER
- Let f(k)(x)=(1)/(k)(sin^(k)x+cos^(k)x) where x in R and kge1then f(4)(...
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- Let p be the proposition. Mathematics is interesting and let q be the ...
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- Value of tan^(-1)1/3+tan ^(-1)1/5+tan^(-1)1/7+tan^(-1)1/8 is
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- If tan^(-1)(sqrt(1+x^(2))-1)/(x)=4 then x equals
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- The integral solution of tan^(-1)x+tan^(-1)(1)/(y)=tan^(-1)3 is
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- If sin^(-1)x+cos^(-1)(1-x)=sin^(-1)(-x)then x satisfies
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- The number of values of k for which the system of equations : (k+1)x...
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- If alpha,betane0 and f(n)=alpha^(n)+beta^(n) and |(3,1+f(1),1+f(2)),...
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- The set of all values of lambda for which the system of linear equatio...
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- The inverse of the matrix A=[(2,0,0),(0,3,0),(0,0,4)] is
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- If A= {:[(1,2),(0,1)]:} then A^(n) is
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- If [(0,1),(1,0)] then A^(2) is equal to
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- The function f(x) = [x] where [x] is the greatest integer function is ...
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- f(x) = {:{(3x-8,"if"x le 5),(2k," if"x gt 5):}
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- If x+y=tan^(-1)y and (d^(2)y)/(dx^(2))=f(y)(dy)/(dx) then f(y)=
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- Let f(x) = cos^(-1) [(1)/(sqrt13) (2 cos x - 3 sin x)]. Then f(0.5) =
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- If y=(1+x)(1+x^(2))(1+x^(4)), then (dy)/(dx) at x=1 is
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- If y = (tan^(-1)x)^(2) then show that (x^(2) + 1)^(2) (d^2 y)/(dx^2) +...
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- If the function f(x) defined by f(x)=(x^(100))/(100)+(x^(99))/(99)+....
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- The maximum area of rectangle that can be inscribed in a circle of rad...
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