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SUNSTAR PUBLICATION-II PUC MATHEMATICS (ANNUAL EXAM QUESTIONS PAPER MARCH -2019)-PART-D
- Prove that the function f:N to Y defined by f(x) = 4x +3 , w...
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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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- Solve the following system of equations by matrix method. 3x-2y+3z=...
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- y= sin ^(-1)x show that (1-x^2) (d^2 y)/(dx^2) -x (dy)/(dx) =0
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- IF length of x reactangle is decreasing at the rate of 3 cm / ...
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- Find int(dx )/(x^2 -a^2) . Hence evaluate int (dx)/(x^2 -16)
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- Find the small area enclosed by the circle x^2 + y^2 =4 and x...
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- solve the differential equation (dy)/(dx) +y sec x = tan x, 0 l...
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- Derive the equation of the line in space passing through a point and p...
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- Five cards are drawn successively with replacement from a with...
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- Prove that int(0 )^(a) f (x) dx = int(0)^(a) f (a -x) dx hence ...
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- Using properties of determinants prove that : |(1+a,1,1),( 1,1+b,1)...
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- Minimise and Maximise z=5x+10y subject to constraints : x+2y le 12...
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- Find the value of K so that the function f(x) = {{:(kx+1,"if"x l...
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