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SUNSTAR PUBLICATION-SUPPLEMENTARY EXAM QUESTION PAPER JULY -2014-PART-C
- For any square matrix A with real numbers. Prove that A+A^(1) is a s...
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- Find two positive numbers x and y such that x + y = 60 and xy^(3) is m...
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- Evaluate : intsin3x cos 4xdx
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- Evaluate intx^(2)e^(x)dx
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- Determine the area of the region bounded by y^(2)=x and the line x=1, ...
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- Form the differential equation of the family of circles having centre...
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- If two vectors veca and vecb such that |veca|=2|vecb|=3 and veca.vecb=...
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- Find a unit vector perpendicular to each of the vectors ( veca +...
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- Find the shortest distance betweeen the line l(1) and l(2) whose vecto...
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- A Bag I contain 3 red and 4 black balls. White bag II contains 5 red 6...
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- If A=[(1,2,3),(3,-2,1),(4,2,1)] then show that A^3-23A -40 I=0.
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- If y=3 cos(log x)+4sin(logx) show that x^(2)y(2)+xy(1)+y=0
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- The length x of a rectangle is decreasing at the rate of 5 cm//minute ...
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- Find the integral of (1)/(sqrt(x^(2)+a^(2))) with respect to x and hen...
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- Find the area of the region enclosed between the circles x^(2)+y^(2)=4...
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- Let y(x) be the solution of the differential equaiton : (x log x ) (...
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- Derive the equation of the line in space passing through a point and p...
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- If a fair coin is tossed 6 times. Find the probability of (i) at least...
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