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Binary operation * on R -{-1} defined by...

Binary operation * on R `-{-1}` defined by `a ** b = (a)/(b+1)` is

A

* is associative and commutative

B

* is associative but not commutative

C

* is neither associative nor commutative

D

* is commutative but not associative

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The correct Answer is:
C
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SUNSTAR PUBLICATION-K-CET- MATHEMATICS - 2017-MCQs
  1. If the matrix A is both symmetric and skew symmetric, then

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  2. Find x and y, if 2[(1,3),(0,x)]+[(y,0),(1,2)]=[(5,6),(1,8)]

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  3. Binary operation * on R -{-1} defined by a ** b = (a)/(b+1) is

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  4. find the value of x for which |(3,x),(x,1)|=|(3,2),(4,1)|

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  5. If A is a square matrix of order 3xx3, then |KA| is equal to

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  6. The area of triangle with vertices (K, 0), (4,0), (0, 2) is 4 square u...

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  7. Let Delta=|(Ax,x^(2),1),(By,y^(2),1),(Cz,z^(2),1)| and Delta(1)=|(A,B,...

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  8. If f(x)={{:(Kx^(2),"if x" le 2),(3,"if x" gt 2):}} is continuous at x ...

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  9. The value of C in mean value theorem for the function f(x)=x^(2) in [2...

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  10. The point on the curve y^(2)=x, where the tangent makes an angle of (p...

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  11. The function f(x)=x^(2)+2x-5 is strictly increasing in the interval

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  12. The rate of change of volume of a sphere with respect to its surface a...

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  13. If y=tan^(-1)((sin x + cos x)/(cos x - sin x)), then (dy)/(dx) is equa...

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  14. If y=|(f(x),g(x),h(x)),(1,m,n),(a,b,c)|, then (dy)/(dx) is equal to

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  15. If sin x = (2t)/(1+t^(2)), tan y = (2t)/(1-t^(2)), then (dy)/(dx) is e...

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  16. The derivative of cos^(-1)(2x^(2)-1) w.r.t cos^(-1) x is

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  17. If y = log (log x) then (d^(2)y)/(dx^(2)) is equal to

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  18. int((x+3)e^(x))/((x+4)^(2))dx is equal to

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  19. Evalute : int (cos 2 x - cos2 alpha)/(cos x - cos alpha)dx.

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  20. int sqrt(x^(2)+2x+5)dx is equal to

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