Home
Class 12
MATHS
If the binary operation **, defined on Q...

If the binary operation `**`, defined on `Q`, is defined as `a**b=2a+b-a b ,` for all `a **\ b in Q,` find the value of `3**4`

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

In the binary operation **: QxxQrarrQ is defined as : (i) a**b=a+b-ab, a,b inQ

The binary operation defined on the set z of all integers as a ** b = |a-b| - 1 is

The binary operation *:R xx R rarr R is defined as a*b=2a+b* Find (2*3)*4

Consider a binary operation '**' on N defined as : a**b=a^(3)+b^(3) . Then :

The binary operation **:RxxRrarrR is defined as: a**b=2a+b . Find (2**3)**5 .

Consider the binary operation * defined on Q-{1} by the rule a*b=a+b-a b for all a ,\ b in Q-{1} . The identity element in Q-{1} is (a) 0 (b) 1 (c) 1/2 (d) -1

Let '**' be the binary operation defined on the set Z of all integers as a ** b = a + b + 1 for all a, b in Z . The identity element w.r.t. this operations is

The identity element for the binary operation ** defined on Q - {0} as a ** b=(ab)/(2), AA a, b in Q - {0} is

Show that the binary operation * on Z defined by a*b=3a+7b is not commutative.

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate : int1/(x+xlogx)\ dx

    Text Solution

    |

  2. Find the area of the greatest rectangle that can be inscribed in an...

    Text Solution

    |

  3. If the binary operation **, defined on Q, is defined as a**b=2a+b-a ...

    Text Solution

    |

  4. Find the value of the following: tan (1/2)[sin^(-1) ((2x)/(1+x^2))+c...

    Text Solution

    |

  5. Evaluate : int0^1 1/(sqrt(2x+3))\ dx

    Text Solution

    |

  6. Find a unit vector in the direction of vec a=2 hat i-\ 3 hat j+6 hat ...

    Text Solution

    |

  7. If [[y+2x,5],[-x,3]]=[[7, 5],[-2 ,3]], find the value of y

    Text Solution

    |

  8. Find the position vector of a point R which divides the line joinin...

    Text Solution

    |

  9. Find the Cartesian equation of the plane passing through the points...

    Text Solution

    |

  10. What is the cosine of the angle which the vector sqrt(2) hat i+ hat j+...

    Text Solution

    |

  11. On a multiple choice examination with three possible answers (out o...

    Text Solution

    |

  12. If A=(a(i j))= [[2, 3,-5],[1, 4, 9],[ 0, 7,-2]] and B=(b(i j))=[[2, 1,...

    Text Solution

    |

  13. Using elementary row operations, find the inverse of the following ...

    Text Solution

    |

  14. Let Z be the set of all integers and R be the relation on Z defined as...

    Text Solution

    |

  15. Evaluate : int(pi//6)^(pi//3)(sinx+cosx)/(sqrt(sin2x))\ dxdot

    Text Solution

    |

  16. If siny=xsin(a+y), prove that (dy)/(dx)=(sin^2(a+y))/(sina)

    Text Solution

    |

  17. If (cosx)^y=(cosy)^x , find (dy)/(dx)

    Text Solution

    |

  18. Evaluate: intx^2log(1+x)dx\

    Text Solution

    |

  19. Differentiate tan^(-1)[(sqrt(1+x^2)-1)/x] with respect to x

    Text Solution

    |

  20. Prove that the volume of the largest cone, that can be inscribed in...

    Text Solution

    |