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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2018-QUESTION BANK
- The value of determinant |(a-b ,b+c,a),(b-a,c+a,b),(c-a,a+b,c)| is
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- If (x(1),y(1)),(x(2),y(2)) and (x(3),y(3)) are the vertices of a trian...
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- Let A be a square matrix of order 3xx3 , then |5A| =
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- If f(x)={{:(sqrt(1+kx)-sqrt(1-kx)," if ", -1le x lt 0),((2x+1)/(x-1), ...
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- If cosy = xcos (a+y) with cos a ne pm1 , then (dy)/(dx) is equal to
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- If f(x) = |cosx-sinx|, then f ' (pi//6) is equal to
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- If y=sqrt(x+sqrt(x+sqrt(x+............oo))), m then dy/dx=
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- If f(x)={{:((logex)/(x-1),,,x ne 1),(k,,,x=1):}is continuous at x = 1...
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- Approximate change in the volume V of a cube of side x metres caused b...
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- The maximum value of (1/x)^(x) is
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- f(x)=x^(x) has a stationary point at :
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- The maximum area of a rectangle inscribed in the circle (x+1)^(2)+(y-3...
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- int1/(1+e^(x))dx is equal to
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- int1/(sqrt(3-6x-9x^(2)))dx is equal to
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- int" e"^(sinx).((sinx+1)/(secx))dx is equal to
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- int(-2)^2 |x cos pi x|dx is equal to :
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- int(0)^(1)(dx)/(e^(x)+e^(-x)) is equal to
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- int0^(1//2)(dx)/((1+x^2)sqrt(1-x^2)) is equal to
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- Area of the region bounded by the curve y = cos x, x = 0 and x = pi is
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- The area bounded by the line y = x,x axis and ordinates x = -1 and x =...
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