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FULL MARKS-SAMPLE PAPER 13-PART
- 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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- Show that "cos"(pi)/(15)"cos"(2pi)/(15)"cos"(3pi)/(15)"cos"(4pi)/(15)"...
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- If x,y,z are respectively p^(th), q^(th) and r^(th) terms of a G.P sho...
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- Three vectors veca,vecb and vecc are such that |veca|=2,|vecb|=3,|vecc...
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- Suppose the chances of hitting a target by a person X is 3 times in 4 ...
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- Evaluate lim(xtooo)((x^(2)-2x+1)/(x^(2)-4x+2))^(x)
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- (a) If y=cos(msin^(-1)x) prove that (1-x^(2))y(3)-3xy(2)+(m^(2)-1)y(1)...
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