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MODERN PUBLICATION-SAMPLE PAPER 2019-EXERCISE
- Prove that : "cos"^(-1) ((b+a "cos"x)/(a+b "cos"x)) =2"tan"^(-1)(sqr...
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- If A=[{:(1,2,3),(3,-2,1),(4,2,1):}] then show that A^(3)-23A-40I=O
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- Solve the following : [[x+1,omega,omega^2],[omega,x+omega^2,1],[omega^...
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- A person takes 4 tests in succession. The probability of his passing t...
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- Find the probability distribution of number of heads in three tosses...
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- If A=[[1,2,0],[0,1,3],[-2,5,3]], then verify that A+A' is symmetric an...
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- Find (d^2y)/(dx^2) if x=a costheta,y=bsintheta.
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- Verify lagrange's Mean-Value theorem for F(x) = x^3 - 2x^2 - x + 3 o...
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- Find the point on the curve x^2 + y^2 - 4xy + 2 = 0 where the normal...
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- Find the intervals in which the function y=(lnx)/(x) is increasing and...
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- Integrate the following int[(2x+1)/sqrt(x^2+10x+29)]dx
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- Evaluate : int0^(pi//2)(cosxdx)/((2-sinx)(3+sinx))
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- Find the area of the region bounded by the curve y=6x-x^2 and the x-ax...
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- Find differential equation of the curve y=ae^(3x)+be^(5x).
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- Obtain the general solution of the following differential equations. (...
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- Find a unit vector perpendicular to both of the vectors veca + vecb an...
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- Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.
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- Find the vector equation of a plane which is at a distance of 3 units ...
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- Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...
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- Prove that f:X to Y is injective iff for all subsets A, B of X, f (A c...
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