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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2016-QUESTION BANK
- Evaluate int(e^(x)(1+x))/(cos^(2)(xe^(x)))dx
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- The simplified form of i^(n)+i^(n+1)+i^(n+2)+i^(n+3) is
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- The value of int(2)^(8)(sqrt(10-x))/(sqrt(x)+sqrt(10-x))dx is
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- The maximum value of (1/x)^(x) is
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- The coefficient of variation of two distribution are 60 and 70. The st...
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- If x, y, z are all different and not equal to zero and |{:(1+x,,1,,...
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- If x = 2 + 3 cos theta and y = 1 -3 sin theta represent a circle then ...
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- If sin^(-1)x+sin^(-1)y=(pi)/(2), then x^(2) is equal to
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- If tan^(-1)(x^(2)+y^(2))=alpha then (dy)/(dx) is equal to
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- The vector equation of the plane which is at a distance of 3//sqrt(14)...
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- The equation of the normal to the curve y(1+x^(2))=2-x where the tang...
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- Find the value of tan ""pi/8.
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- The real part of (1-costheta + I sin theta)^(-1) is
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- If x^(m)y^(n) = (x + y)^(m +n) then (dy)/(dx) is equal to
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- The differential coefficient of log(10)x with respect to log(x)10 is
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- int(0)^(pi//2)(sin^(1000)xdx)/(sin^(1000)x+cos^(1000)x) is equal to
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- The value of fe^(x)(x^(2)tan^(-1) x + tan^(-1) x + 1)/(x^(2) + 1) dx ...
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- The 11^(th) term in the expansion of (x+(1)/(sqrt(x)))^(14) is
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- The general solution of cot theta + tan theta = 2 is
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- If A = [{:(cos 2thet,,-sin 2theta),(sin 2theta,, cos 2theta):}] and A ...
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