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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2015-QUESTION BANK
- If the function g(x) is defined by g(x) = (x^(200))/(200) +(x^(199...
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- A box contains 6 red numbers from 1 through 6 and 4 white marbles ...
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- lim(x rarr 0) (1- cos x)/(x^(2)) is :
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- f(x)= {(3x-8,"If " x le 5),(2k,"if" x gt 5):} is continuous, find k
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- If f(x)=2x^(2), find (f(3.8)-f(4))/(3.8-4) :
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- If x = ct and y = c/t , find (dy)/(dx) at t = 2 .
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- A balloon which always remains spherical is being inflated by pumping ...
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- int (sin^(2)x)/(1+cos x) dx is equal to
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- Evaluate : int e^(x) ((1 + sin x)/( 1+ cos x)) dx
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- If 1, w, w^(2) are three cube roots of unity, then (1 - w+ w^(2)) (1 +...
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- Solve for x tan^(-1) ((1-x)/(1+x))=(1)/(2) tan^(-1)x, x gt 0
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- The system of linear equations x+y+z = 6, x+2y+3z = 10 and x + 2y +az ...
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- The value of tan (1^(@)) + tan (89^(@)) is
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- If ((x+1)^(2))/(x^(3)+x)=A/x +(Bx+C)/(x^(2)+1) then "cosec"^(-1) (1/A...
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- The remainder obtained when 1! + 2! + 3!+….+ 11! is divided by 12 is
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- If alpha le 2 sin^(-1) x + cos^(-1) x le beta, then
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- If A= [(0,1),(1,0)], then A^(2) equal to
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- The function f(x)= [x], where [x] denotes greatest integer function is...
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- If y= log ((1-x^(2))/(1+ x^(2))), then (dy)/(dx) is equal to
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- The two curves x^(3) - 3xy^(2) + 2 = 0 and 3x^2y - y^(3) = 2
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