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Consider the binary operation ast on the...

Consider the binary operation `ast` on the set R of real numbers, defined by `aastb=a``b`/4``
Show that `ast` is commutative and associative.

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MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
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  2. Show that cos^-1(4/5)+cos^-1(12/13)=tan^-1(56/33)

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  3. Consider the binary operation ast on the set R of real numbers, define...

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  4. Let Q be the set of Rational numbers and 'ast' be the binary operation...

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  7. Consider the matrix [[1,0,2],[0,1,2],[0,4,9]] Find the solution of th...

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  8. Show that abs [[1,a,bc],[1,b,ac],[1,c,ab]]=(a-b)(b-c)(c-a)

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  9. If A=[[2,3],[4,-1]] verify that AtimesadjA=absAI

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  10. If f is a function such that f(-x)=f(x), then int(-a)^af(x)dx=………….

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  11. Evaluate int(-pi/2)^(pi/2)cosxdx

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  12. Evaluate int0^1(x^2+1)dx as the limit of a sum.

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  17. (x-2)/1=(y+1)/2=(z-3)/1,(x-3)/2=(y-1)/1=(z-4)/2 Find the equation of t...

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  18. (x-2)/1=(y+1)/2=(z-3)/1,(x-3)/2=(y-1)/1=(z-4)/2 Show that the above li...

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  19. A coin is tossed 3 times. Find the probability distribution of the num...

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  20. In a circle of radius 2 a square is inscribed as shown in the figure. ...

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