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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2014-QUESTION BANK
- If y=(tan^(-1)x)^(2) show that (x^(2)+1)^(2)y(2)+2x(x^(2)+1)y(1)=2
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- If f(x)=x^(3) and g(x)=x^(3)-4x in -2 le x le 2, then consider the sta...
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- Which of the following is not a correct statement?
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- If the function f(x) satisfies lim(x rarr 1) (f(x) - 2)/(x^(2) - 1) = ...
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- The tangent to the curve y=x^(3)+1 at(1, 2) makes an angle theta with ...
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- If the function f(x) defined as f(x) = (x^(100))/(100) + (x^(99))/(99)...
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- If f(x) = f(pi + e - x) and inte^(pi) f(x) dx = 2/(e + pi), then inte^...
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- If linear function f(x) and g(x) satisfy int[(3x-1)cosx+(1-2x)sinx]dx=...
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- The value of the integral int(-pi//4)^(pi//4) log (sec theta - tan the...
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- int(sin 2x)/(sin^(2)x + 2 cos^(2)x) dx =
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- Let S be the set of all real numbers. A relation R has been defined on...
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- For any two real numbers, an operation * defined by a *b = 1 + ab is
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- Let f:NtoNdefined by : f(n)={:{((n+1)/(2) "if n is odd"),((n)/(2) "if ...
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- Suppose f(x)=(x+1)^(2) for xge-1. If g(x) is the function whose graph ...
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- The domain of the function f(x)=sqrt(cos x) is
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- In a class of 60 students, 25 students play cricket and 20 students pl...
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- Given 0 le x le (1)/(2) then the value of tan[sin^(-1){(x)/(sqrt(2)) +...
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- The value of sin(2 sin^(-1) 0.8) is equal to
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- If A is 3 xx 4 matrix and B is a matrix such that A^(1)B and B A^(1) a...
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- The symmetric part of the matrix A = ((1,2,4),(6,8,2),(2,-2,7)) is
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