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MODERN PUBLICATION-SAMPLE PAPER 2019-EXERCISE
- Let A and B be two mutually exclusive events, such that P(A)= (1)/(2) ...
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- If f'(2^+) = 0 and f'(2^-)=0, then is f(x) continuous at x=2 ?
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- If f is an odd function, then write the value of int-a^a(f(sinx))/(f(c...
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- Write the order of the differential equation whose solution is given b...
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- If veca=vecb+vecc, then write the value of veca*(vecbxxvecc).
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- Write the value of k such that the line (x-4)/1=(y-2)/1=(z-k)/2 lies o...
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- Construct the multiplication table xx(7) on the set {1,2,3,4,5,6}. Als...
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- Let R be the relation on the set R of real numbers such that aRb iff a...
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- Solve: 2tan^(-1)(sinx)=tan^(-1)(2secx),x!=pi/2.
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- 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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