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FULL MARKS-SAMPLE PAPER 13-PART
- If n(A)=10 and n(AcapB)=3, find n((AcapB)'capA).
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- Are there two distinct irrational numbers such that their difference i...
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- Find the value of tan 105^(@).
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- Write the first 6 terms of the sequence whose n^(th) term is given by ...
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- Show that the points (0,-(3)/(2)),(1,-1) and (2,-(1)/(2)) are collinea...
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- Find x and y if ((3x+4y,x-2y),(5,-3))=((2,4),(5,-3)).
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- Given veca=2hati+2hatj+3hatk, vecb=-hati+2hatj+hatk and vecc=3hati+hat...
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- Find the relation between a and b if lim(xto3)f(x) exists where f(x)={...
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- Find the derivative of t^(3) cos t with respect to t.
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- There are 15 candidates for an examination. 7 candidates are appearing...
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- Find the largest possible domain for the real valued function f define...
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- Resolve into partial fractions (3x+7)/(x^(2)-3x+2).
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- Iff ""^(5)P(r)=""^(6)P(r-1) find r.
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- Show that |{:(x,a,a),(a,x,a),(a,a,x):}|=(x+2a)(x-a)^2
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- Find the unit vectors perpendicular to each of the vectors veca+vecb" ...
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- Evaluate lim(xto3)(x^(2)-9)/(x-3) if it exists by finding f(3^(-)) and...
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- Prove that the equations to the straight lines through the origin each...
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- Evalute int(1)/(sqrt(x+3)-sqrt(x-4))dx.
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- Prove that cos5theta=16cos^(5)theta-20cos^(3)theta+5costheta.
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- Let A={1,2,3,4} and B={a,b,c,d}. Give a function from AtoB for each of...
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