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FULL MARKS-SAMPLE PAPER - 20 (UNSOLVED)-PART - IV (IV. Answer all the questions.)
- Solve the following system of linear equaltions, by Gaussian eliminati...
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- Find the inverse of each of the following by Gauss - Jordan method : ...
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- Find cube roots of sqrt3+i.
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- If a=cos 2alpha+i sin 2alpha, b =cos 2beta+i sin 2beta and c = cos 2ga...
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- If the root of x^3+px^2+qx+r=0 are in H.P. prove that 9 pqr = 27 r^2+...
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- Show that the set G of all rational numbers except -1 satisfies closur...
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- If w(x,y) =6x^(3) - 3xy + 2y^(2) , x =e^(s), y= cos s in R, find (dw)/...
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- A pair of fair dice is rolled once . Find the probability mass functio...
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- If a(1), a(2), a(3), …..a(n) is an arithmetic progression with common ...
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- Find the local maximum and local minimum of f(x) = 2x^(3) + 5x^(2) - 4...
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- Evaluate the following integrals using properties of integration : int...
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- Find the vertex, focus, directrix, and length of the latus rectum of t...
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- Assume that the rate at which radioactive nuclei decay is proportioanl...
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- Find the vector parametric, vector non-parametric and Cartesian form o...
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