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MODERN PUBLICATION-SAMPLE PAPER 2013-EXERCISE
- solve , dy/dx + y = e^(-x).
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- Find the differential equation whose general solution is y = a cos x +...
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- If vec a = (2,-2,1), vec b = (2,3,6) and vec c = (-1,0,2),Find the mag...
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- Prove the following by vector method. An angle inscribed in a semi-cir...
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- Show that the points (3,-2,4)(1,1,1) and (-1,4,-1) are collinear.
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- Find the equation of a plane biscting the line segment joining (-1,4,3...
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- Find the value of r, if the line (x-1)/(1) = (y+2)/(3) = (z-1)/(-1) =...
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- Find equation of the sphere if the line segment joining the Points (4,...
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- Maximise Z=50x(1)+60x(2) Subject to 2x(1)+3x(2)le6,x(1),x(2)ge0.
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- Find the value of |{:(17,58,97),(19,60,99),(18,59,98):}| without expan...
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- Prove that the following. [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc(1+1/...
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- Find the product [{:(1,2,3),(2,3,4):}][{:(1,-2),(-2,3):}]
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- Prove that "^(2n)C0 + ^(2n)C2 + .... + ^(2n)C(2n) = 2^(2n-1)
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- C(3)^(2n):C(3)^(n)= 44:5, find the value of n.
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- In how many ways can 2 boys and 3 girls sit in a row so that no two gi...
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- If 8 person are to sit around a table what is the probability that X a...
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- A class consists of 25 boys and 15 girls. If a committee of 6 is to be...
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- If y = e^(ax) cos bx then find y(n)(0).
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- Use the function f(x) = x^(1//x), x gt 0 to show that e^(pi) gt pi^(e)...
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- Evaluate int0^1frac[ln(1+x)][1+x^2]dx
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