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UNITED BOOK HOUSE-QUESTION PAPER 2017-EXERCISE
- An unbiased die is thrown 3 times. If the first thrown is a 5, the con...
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- If vecalpha= 2hati+3 hat j-6 hatk and vec beta= phat i-hatj+2 hatk are...
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- The value of sin(cos^(-1)x)-cos(sin^(-1)x)is-
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- The degree of the differential equation (d^3y)/(dx^3)+y=root(3)(1+(dy...
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- Let IR be the set of real numbers and the mapping f:IR rarr IR and g:I...
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- If f(x) is the probability distribution function of a random variable ...
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- If the direction ratios of a striaght line are proportional, to 0,1,-1...
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- If f(x)=|x|+|x-1| then f(x)is-
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- The value of overset(a)underset(-a)int (xe^(x^4))/(1+x^2)dxis
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- If the inverse of the matrix A exists, then the value of det (A^-1)
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- If R is a relation defined as R ={(x,y):x,y in N and x+3y =12}. Then f...
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- Evaluate : sec^2(tan^(-1)2)+cosec^2(cot^(-1)3).
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- Show that , A =1/3[[-1,2,-2],[-2,1,2],[2,2,1]] is proper orthogonal ma...
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- Prove that |[1,logxy,logxz],[logyx,1,logyz],[logzx,logzy,1]|=0
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- If x = sqrt(a^(sin^(-1)t)) and y= sqrt(a^(cos^(-1)t) show that (dy)/(...
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- Verify Rolle' theorem for the function f(x)= x^2-4x+3 in 1lexle3.
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- Evaluate: int(cos x-cos 2x)/(1-cosx)dx.
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- A particle starts with the velocity u and moves in a straight line, i...
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- Find the interval where f(x) = 1/(1+x^2) decrease.
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- If f(x)= f(a+x) then prove that the value of overset(a+t)underset(a)in...
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