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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
- Show that the shortest distance between the lines x+a=2y=-12z and x=y+...
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- If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/...
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- Find the extreme values of the function f(x)=x^2e^(-x^2) and show that...
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- Shows that the triangle of greatest area that can be inscribed in a ci...
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- Find the inverse of [(1,1,2),(0,1,2),(1,2,1)] using elementary operati...
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- If [[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]]=0 then prove that xyz...
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- If A [[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,3],[1,1,-1],[1,1,1]]"and"C=[[1...
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- Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto
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- Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto
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- Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto
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- Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto
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- Find the number of binary operations on the set {a,b}.
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- If A, B are symmetric matrices of same order, then find AB-BA.
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- Let A be square matrix of order 3times3, then find abs(KA) where, k is...
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- If A is an invertible matrix of order 2, then find det(A^(-1)).
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- Find intx^2e^(x^3)dx
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- Give an example of a homogeneous differential equation.
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- In triangle ABC, find vec(AB)+vec(BC)+vec(CA)
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- Let the vectors veca and vecb such that abs(veca)=3 and abs(vecb)=frac...
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- Are the planes 2x-y+4z=5 and 5x-25y+10z=6 are perpendicular?
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