Home
Class 12
MATHS
If ** be a binary operation on N (the se...

If `**` be a binary operation on N (the setof natural numbers) defined by `a^(**) b = a^(b)`, then find (i) `2 ** 3` (ii) `3 ** 2`

Text Solution

AI Generated Solution

To solve the problem, we need to evaluate the binary operation defined by \( a^{(**)} b = a^b \) for the given values. **Step 1: Evaluate \( 2 ** 3 \)** According to the definition of the operation, we have: \[ 2 ** 3 = 2^3 \] Now, we calculate \( 2^3 \): ...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) Objective Type Questions (one option is correct)|102 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - B) Objective Type Questions (one option is correct)|86 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos
  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|11 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - J) Aakash Challengers|11 Videos

Similar Questions

Explore conceptually related problems

Let *, be a binary operation on N, the set of natural numbers defined by a*b = a^b , for all a,b in N . is * associative or commutative on N?

Let *, be a binary operation on N, the set of natural numbers defined by a * b = a^b , for all a,b in N . Is * associative or commutative on N?

Let * be a binary operation on N, the set of natural numbers, defined by a*b= a^b for all a , b in Ndot Is '*' commutative on N ?

Let * be a binary operation on N, the set of natural numbers, defined by a*b= a^b for all a , b in Ndot Is '*' associative or commutative on N ?

If the binary operation "." on the set of integers Z , is defined by a*b=a+3b^2, then find the value of 2*4

Let * be a binary operation on set of integers I, defined by a*b=2a+b-3. Find the value of 3*4.

If the binary operation * on the set Z of integers is defined by a*b=a+3b^2, find the value of 2*4 .

If the binary operation * on the set Z of integers is defined by a * b=a+3b^2 , find the value of 2 * 4 .

Let * be a binary operation on set of integers I, defined by a*b=2a+b-3 . Find the value of 3*4 .

Let * be a binary operation on set of integers I , defined by a * b=2a+b-3 . Find the value of 3 * 4 .

AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Try Yourself
  1. Find the domain and range of |x-3|.

    Text Solution

    |

  2. Find the domain and range of -|x-5|.

    Text Solution

    |

  3. Consider that [] represents greatest integer function. Find the valu...

    Text Solution

    |

  4. Consider that [] represents greatest integer function. [(3)/(5)] + [...

    Text Solution

    |

  5. Let f(x) = x^(3) + 5 and g(x) = 5x + 3 be two real functions. Find (f+...

    Text Solution

    |

  6. Let f(x) = 3x + 8 and g(x) = x^(2) be two real functions. Find (f+g) (...

    Text Solution

    |

  7. If f, g : R rarr R be defined respectively by f(x) = 3x + 2 and g(x) =...

    Text Solution

    |

  8. If f, g : R rarr R be defined respectively by f(x) = 8x + 7 and g(x) =...

    Text Solution

    |

  9. Let f(x) = x^(3) + 6x + 9 and g(x) = x+5 be two functions. Find (f+g) ...

    Text Solution

    |

  10. Let f(x) = x^(2) + 2x +5 and g(x) = x^(3) - 1 be two real functions. F...

    Text Solution

    |

  11. Show that the function f : R rarr R defined by f(x) = cos (5x+3) is ne...

    Text Solution

    |

  12. Let A be the set of all 50 students of class XII in a central school. ...

    Text Solution

    |

  13. If f: R->R be given by f(x)=s in^2x+s in^2(x+pi//3)+cosx\ cos(x+pi//3)...

    Text Solution

    |

  14. Let f: RvecR and g: Rvec be two functions such that fog(x)=sinx^2a n...

    Text Solution

    |

  15. If f : [0, oo) rarr [2, oo) be defined by f(x) = x^(2) + 2, AA xx in R...

    Text Solution

    |

  16. Let f: N->R be a function defined as f(x)=4x^2+12 x+15. Show that f: N...

    Text Solution

    |

  17. If ** be a binary operation on N (the setof natural numbers) defined b...

    Text Solution

    |

  18. Let A = {1, 2, 3}. Find the number of binary operations on A.

    Text Solution

    |

  19. If a ** b = 4a^(2) + 6b^(2) be a binary operations on Q, then verify t...

    Text Solution

    |

  20. Let A = N xx N and * be the binary operation on A defined by (a, b) * ...

    Text Solution

    |