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Let ast be a binary operation on the set...

Let `ast` be a binary operation on the set of real numbers, defined by `a astb=frac[ab][5]`, for all `a,binR`. Find the identity element.

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
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  2. Let ast be a binary operation on the set of real numbers, defined by a...

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  3. Let ast be a binary operation on the set of real numbers, defined by a...

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  4. Let ast be a binary operation on the set of real numbers, defined by a...

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  5. If a relation R is defined on the set Z of integers as following (a,b)...

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  6. If A=[[2,0,-3],[4,3,1],[-5,7,2]] is expressed as sum of a symmetric an...

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  7. Given the equations x=cy+bz, y=az+cx and z=bx+ay where x,y and z a...

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  8. Find A^2-5A+6 if A=[[2,0,1],[2,1,3],[1,-1,0]]

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  9. Let a,b and c are real number and Delta=|{:(b+c,c+a,a+b),(c+a,a+b,b+...

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  10. If A=[{:(cosalpha,-sinalpha),(sinalpha,cosalpha):}]andA+A'=I , then fi...

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  11. Find the value of a and b if the function given below is continuous. ...

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  12. If y=(sinx)^(tanx), find frac[dy][dx]

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  13. If y=log[x+sqrt(x^(2)+1)], then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+...

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  14. Prove that all normals to the curve x = a cos t + at sin t, y = a sin ...

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  15. If y=(tan^(-1)x)^2 then show that (x^2+1)^2 (d^2y)/(dx^2)+2x(x^2+1)((d...

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  16. Find intsec^3xdx

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  17. int0^(pi/2)sin2x log(tanx)dx

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  18. Solve (1+x^2)frac[dy][dx]+2xy-4x^2=0 subject to the initial condition ...

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  19. Evaluate: intfrac[x+3][sqrt(5-4x+x^2)]dx

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  20. If with reference to the eight handed system of mutually perpendicular...

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