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if ** is the binary operation on N given...

if `**` is the binary operation on N given by `a**b`= L. C. M of a and b. Find `20**16`. Is `**` Commutative.

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if ** is the binary operation on N given by a**b = L. C. M of a and b. Find 20**16 . Is ** Associative.

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SHARAM PUBLICATION-MODEL QUESTION PAPER 19-EXERCISE
  1. Find the least positive integer r such that 185 in [r]7

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  2. If f:R to R is the function defined by f(x)=4x^(3) +7, then show that ...

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  3. if ** is the binary operation on N given by a**b= L. C. M of a and b. ...

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  4. Show that 2 tan^-1(1/4) + 2 tan^-1 (2/9) = tan^-1(4/3).

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  5. Evaluate int1/(sqrt(x)sqrt(x-a^2))dx.

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  6. Evaluate int (x+3)/sqrt(9-x^2)dx.

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  7. Evaluate intcos(2-7x)dx

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  8. Solve(d^2y)/dt^2=e^(2t)+e^-t.

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  9. Using integration, find the area of the region bounded by the curves ...

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  10. Find the value of a such that the function f defined by f(x)={((sinax...

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  11. Find (dx)/dy when y=(sinx)^x.

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  12. Differentiate y=tan^(-1).(sqrt(1+x^(2))+sqrt(1-x^(2)))/(sqrt(1+x^(2))-...

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  13. Find the points on the curve y = x^3 - 11x + 5 at which the equation o...

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  14. If A=[[-1,3,5],[1,-3,-5],[-1,3,5]]Show that A^2=A.

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  15. If [[x+y,x-2],[2x-z,0]]=[[2,5],[3,1]] then the values of x,y,z.

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  16. Prove that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}|=abc(1+1/a+1/b+1/c)or(ab...

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  17. Prove that |(1, a, a^3),(1, b, b^3),(1, c, c^3)|= (a-b)(b-c)(c-a)(a+b+...

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  18. If A=[[2,1],[-1,3]] B=[[2,5],[-3,2]] find AB and BA.

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  19. If the sum of two unit vectors is a unit vectors find the magnitude of...

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  20. Find a vector of magnitude 5 units and parallel to the resultant of ve...

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