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UNITED BOOK HOUSE-QUESTION PAPER 2015-EXERCISE
- The relation R {(1,1),(2,2),(4,4),(1,2),(1,3),(2,3)} on the set A = {1...
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- A binary operation * is defined on the set of all integers Z by a * b...
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- Find the value of tan^(-1){2cos(2sin^(-1)1/2)}. (Consider principal va...
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- If A = ([3,1],[7,5]) and A^2 = -xl+yA. Find x and y where I is a unit ...
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- Without expanding,show that |[9,9,12],[1,-3,-4],[1,9,12]|=0
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- Verify Rolle's theorem for function f(x) = 4^(sinx) in the interval [0...
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- Evaluate the limit lim(x->0) (e^(2x)+e^(-x)-2)/x
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- If the function f(x) = {((sin x)/(kx)+k, x!=0),(2,x=0):} is continuous...
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- If sin^(-1) ((x^2-y^2)/(x^2+y^2))=k, k is a constant, then prove that ...
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- Evaluate the int sin sqrtxdx
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- Find the differential equation of the curves given by y = Ae^(2x)+Be^(...
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- Find the vector equation of the line whose Cartesian equation is given...
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- If veca and vecb are two vectors such that |veca|=2,|vecb|=3 and veca....
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- Find out the mean and variance of the following probability distributi...
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- Find the probability that birthdays of any two members out of five me...
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- Prove that tan^(-1)(1/(x+y))+tan^(-1)(y/(x^2+xy+1) )= cot^(-1)x.
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- If A = ([1,4],[2,3]) then show that A^2-4A-5I = theta and using this f...
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- Solve the following equations by Cramer's method: x+y=1,y+z= 2,x+z=3.
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- Show that |[a+b+2c,a,b],[c,b+c+2a,b],[c,a,c+a+2b]|=2(a+b+c)^3.
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- Solve for x: |[x,c+x,b+x],[c+x,x,a+x],[b+x,a+x,x]|=0
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