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MODERN PUBLICATION-TEST PAPER 9-EXERCISE
- Test whether the relations are reflexive, symmetric or transitive on t...
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- Let A=N xx N and let* be a binary operation on A defined by (a, b) * (...
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- A factory uses three different respurce for the manufacture of two dif...
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- Let A={1,2,3,...,9) and R be the relation on A xx A defined by (a, b) ...
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- If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then veri...
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- Prove that the following. [[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]]=(b-c)(c-a...
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- If A=[{:(-1,3,5),(1,-3,-5),(-1,3,5):}], then find A^(3)-A^(2).
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- Prove that [[b^2c^2, bc,b+c],[c^2a^2,ca,c+a],[a^2b^2,ab,a+b]] = 0
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- Find "a" and "b" such that the function f(x)={3ax+b, if x>1 11 if x=1 ...
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- If y= tan^-1 x then prove that (1+x^2) y(2) + 2xy(1) =0. Differentiate...
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- Find the point (S) on the curve x=(3at)/(1+t^2), y=(3at^2)/(1+t^2) whe...
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- Find the intervals in which the function y=(lnx)/(x) is increasing and...
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- Evaluate int (x+1)dx/sqrt(x^2+2x-3))
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- Evaluate: int(0)^(2π) dx/(1+e^sin x).
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- Solve: (1+x^2)dy/dx+2xy-x^3=0
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- If the sum of two unit vectors is a unit vectors find the magnitude of...
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- Prove by vector method that in аny ∆ АВС. а=Ь cos С +с cos В.
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- Find the equation of the plane passing through (1, 3,4), (2, 1.-1) an...
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- Obtain the co-ordinates of the foot of the perpendicular drawn from th...
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- Let A=Rxx R and be the binary operation on A defined by (a, b) *(c,d) ...
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