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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST -2015-QUESTION BANK
- If y = f(x^(2)) and f'(3) = 5 then (dy)/(dx) at x = 1 is
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- If x= a cos^(3) theta, y= a sin^(3) theta, then 1 + ((dy)/(dx))^(2) is
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- Slope of normal to the curve y = x^(2) - 1/(x^(2)) at (-1,0) is
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- int 1/(x^(2)(x^(4)+1)^(3//4)) dx is equal to .
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- If f : R to R is defined by f(x) = x/(x^(2)+1) find f(f(2)) .
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- Evalute |(cos 15^(@) sin 15^(@)),(sin 75^(@) cos 75^(@))|
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- A man takes a step forward with probability 0.4 and one step backward ...
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- int(0)^(pi//4)log ((sin x +cos x )/(cosx))dx is equal to
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- Area bounded by y = x^(3) ,y = 8 and x = 0 is .
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- Let vec(a) =hat(i) +2hat(j) +hat(k),vec(b) =hat(i) -hat(j) +hat(k) and...
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- The mean devision from the data 3,10,10,4 ,7,10,5 is
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- The probability distribution of X is : {(X:,0,1,2,3),(P(X),0.2,k,k,...
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- 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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