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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2014-QUESTION BANK
- 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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- If A is a matrix of order 3, such that A(adj A) = 101, then |adj A| =
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- Consider the following statements : (a) If any two rows or columns o...
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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, b and c are in A.P., then the value of |(x+2, x+3, x+a),(x+4, x+...
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- The local minimum value of the function f' given by f(x) = 3 + |x|, x ...
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- A stone is dropped into a quiet lake and waves move in circles at the ...
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- A gardener is digging a plot of land. As he gets tired, he works more ...
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- The area of the region bounded by the lines y=mx, x =1, x=2, and x axi...
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- Area of the region bounded by two parabolas y = x^(2) and x = y^(2) is
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- The order and degree of the differential equation y = x(dy)/(dx) + (2)...
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- The general solution of the differential equation (dy)/(dx)+y/x=3x is
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- The distance of the point P(a, b, c) from the x-axis is
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- Equation of the plane perpendicular to the line x/1=y/2=z/3 and passin...
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- The line (x-2)/(3) = (y-3)/(4) = (z-4)/(5) is parallel to the plane
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