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SHARAM PUBLICATION-MODEL QUESTION PAPER -17-EXERCISE
- Prove the following: [[b^2-ab,b-c,bc-ac],[ab-a^2,a-b,b^2-ab],[bc-ac,...
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- Using the properties of determinants prove that |{:(a+b+2c,a,b),(c,b...
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- Evaluate int(x+sqrt(x^2+a^2))dx
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- Evaluate intcosec^2xsqrt(cotx)dx
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- Prove that int0^(pi/2)lnSinxdx=-pi/2ln2
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- Determine the area of the region between the curves y=cosx and y=sinx,...
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- Find the general solution of the differential equation (1+x^2) tan^-1y...
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- Prove that f:RrightarrowR such that f(x)=frac[2x^2][x^2+1] is neither ...
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- Let A={1, 2, 3, 5}, B={4, 6, 9}, A relation R form A to B is defined b...
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- Consider the binary operation ** on the set {1, 2, 3, 4 5} defined by ...
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- Prove statement tan ( 2 "tan"^(-1)1/5-pi/4) + 7/17 =0
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- Find the maixmum value of z =50x1+60x2 subject to 2x1+3x2le6,x1,x2ge0
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- Write the values of a and b, for which the vectors (a-1)hat(i) + (b+2)...
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- Find the scalar projection of the vector veca = 3hati+6hatj + 9hatk on...
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- Find the co-ordinates of the point where the perpendicular from the or...
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- Find the equation of the plane passing through the line x = y = z and ...
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- Find the co-ordinates of the point where the line (x-2)/3=(y+1)/4=(z-2...
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- Find (dy)/(dx) when x^y+y^x=a^b
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- Evaluate inte^x((1+sinx)/(1+cosx))dx.
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- intsin^-1sqrt(x/(a+x))dx=.
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