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The binary operation * define on N by a*...

The binary operation * define on N by a*b = a+b+ab for all `a,binN` is

A

commutative only

B

associative only

C

commutative and associative both

D

none of these

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UNITED BOOK HOUSE-SET 2-EXERCISE
  1. The binary operation * define on N by a*b = a+b+ab for all a,binN is

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  2. The value of tan cot^(-1)(-4/3)is

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  3. If the matrix A is both symmetric and skew symmetric then

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  4. If f(x)=x^(3/2) then

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  5. If f(x) is an add function then overset(a)undert(-a)f(x)dx is equal to

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  6. The value of overset (pi) int underset(0)''cosx|dx is

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  7. If |mveca|=1 then which of the following is true?

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  8. The lines (x-2)/1=(y-3)/1=(z-4)/-k and (x-1)/k=(y-4)/2=(z-5)/1 are co...

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  9. The probability of getting 11 when an ordinary die is thrown twice is

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  10. If in a biomial distribution n=4, P(x=0) = 16/81 then the value of P(x...

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  11. Prove that , 2tan^(-1)x= cos^(-1) (1-x^2)/(1+x^2).

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  12. Evaluate: |[1,a,bc],[1,b,ca],[1,c,ab]|

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  13. Show that function f(x) = 2x-|x| is continous at x=0.

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  14. Evaluate: overset(2)underset(1)int logx dx

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  15. Find the order of the differential equation ((d^4y)/(dx^4))^3-(d^3y...

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  16. Prove that the function f(x) = x+1/x(x!=0) is decreasing for all x in ...

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  17. Determine the area bounded by rectangular hyperbola xy=c^2 the x-axis ...

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  18. The direction agnles of a straight line are 120^@,45^@,30^@. Is the s...

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  19. Find K, for which the two planes x+ky+5z+2=0 and 3x-2y+kz-1=0 are perp...

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  20. Prove that, if P(A//B)=P(A) then P(A^c//B)=P(A^c).

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