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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2015-QUESTION BANK
- 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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- If x is real, the minimum value of x^(2)-8x+17 is :
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- int(-pi//4)^(pi//4)(dx)/(1+cos 2x) is equal to
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- The order of differential equation of all circles of given radius 'a' ...
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- Find the general solution of the differential equation x(dy)/(dx)+ 2y=...
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- If sin x + sin y= (1)/(2) and cos x + cos y=1, then tan (x+y) =
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- If A= [(alpha,2),(2,alpha)] and |A^(3)|= 27, then alpha=
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- If P = |(x,1),(1,x)|and Q = |(x,1,1),(1,x,1),(1,1,x)| then (dQ)/(dx) =
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- A line passes through (2,2) and is perpendicular to the line 3x+y=3, i...
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- Let f:R to R be defined by f(x) = 1/x AA x in R , then f is
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- The solution set of the equation (x^(2)+6x-7)/(|x+4|) lt 0 is
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- f(x)= (1)/(2)- tan ((pi x)/(2)) -1 lt x lt 1 and g(x)= sqrt((3+4x-4x^(...
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- Write the set builder form A= {-1,1}
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- If the operation oplus is defined by a oplus b = a^(2)+b^(2) for al...
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- If Z= ((sqrt3 +1)^(3) (3i + 4)^(2))/((8+ 6i)^(2)) then |Z| is equal to
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