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UNITED BOOK HOUSE-QUESTION PAPER 2016-EXERCISE
- Evaluate: underset(x rarr 0)lim(loge(1+alphax)/(e^(2x)-1))
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- IF the projection of veca= lambda hati+hat j+4 hat k on vec b= 2hati+6...
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- Find the angle between the planes x-y+2z=9 and 2x+y+z=7.
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- If P(A//B)= 0.75, P(B//A) = 0.6 and P(A)=0.4 find the value of P(barA/...
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- If the number of heads obtained is denoted by X when two unbiased coin...
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- A relation R is defined on the set of all natural numbers IN by: (x,y)...
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- If sin^(-1)x+sin^(-1)y+sin^(-1)z = pi then prove that xsqrt(1-x^2)+...
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- Express the matric A= [[-3,4,1],[2,3,0],[1,4,5]] as the sum of a symme...
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- If p,q,r are not in geometric progression and |[1,q/p,alpha+q/p],[1,r/...
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- Prove that,abs((a^2+1,ab,ac),(ab,b^2+1,bc),(ca,cb,c^2+1))=1+a^2+b^2+c^...
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- If siny = x sin(a+y) then show that (dy)/(dx)= (sina)/(1-2xcos a+x^2).
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- pv^a=c (a and c are constants) then show that v^2(d^2p)/(dv^2)=a(a+1)...
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- Evaluate: inte^x(x-3)/(x-1)^3 dx
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- Evaluate: int sqrt(1+cosecx dx)
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- Solve: (1+3e^(y//x))dy+3e^(y//x)(1-y/x)dx=0
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- If the area of a circle increases uniformly, then show that the rate o...
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- The vectors veca,vecb,vecc are such that veca+vecb+vecc=vec0, If |vec...
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- If vec alpha = lambda hat i+hatj+3 hatk,vec beta= -hati+2hatj+hatk,vec...
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- Evaluate (with the help of definite integral): underset(n rarr infty)l...
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- Evaluate: overset(3pi/4)underset(pi/4)int theta/(1+sintheta)d theta
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