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USHA PUBLICATION-PREVIOUS YEAR QUESTION 2019-PREVIOUS YEAR QUESTION
- 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 equaiton whose solution is given b...
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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 for x, 2 tan ^(-1)(cos x) =tan^(-1) (2"cosec"x).
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- Prove that : "cos"^(-1) ((b+a "cos"x)/(a+b "cos"x)) =2"tan"^(-1)(sqr...
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- Construct the multiplication table X7 on the set {1, 2, 3, 4, 5, 6}. A...
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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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- If A=[[1,2,3],[3,-2,1],[4,2,1]]"show that"A^3-23A-40I=0
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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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- If y=e^(x^(e^(x^(e^x)))), then find dy/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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