Home
Class 12
MATHS
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 inverse elements.

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos
  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

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.

Let ast be a binary operation on the set of real numbers, defined by a astb=frac[ab][5] , for all a,binR . Show that ast is both commutative and associative.

Let * be a binary operation on the set S of all non-negative real numbers defined by a**b= sqrt(a^(2)+b^(2)) . Find the identity elements in S with respect to *.

Let * is a binary operation on the set of all non-zero real numbers, given by a**b=(ab)/(5) for all c, b in R -(0) . Find the value of x, given that 2**(x**5)=10 .

Let* is a binary operation on the set of all non-zero real numbers, given by a*b = (ab)/(5),AA a,b in R-{0) . Find the value of x, given that 2*(x*5) = 10.

Determine if the binaary operation o on the set R of real numbers defined by aob = a+b-3 AA a, b inR is commutative/ associative.

If the binary operation on the set of integers Z, defined by a b= a +3b^(2) , then find the value of 8*3.

Let * is a binary operation on set of integers I defined by a**b=3a+4b-2 , then find the value of 4**5 .

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Find intsec^3xdx

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Let veca and vecb be two unit vector and alpha be the angle between th...

    Text Solution

    |