Home
Class 12
MATHS
let '*' be a binary operation on R defin...

let '*' be a binary operation on R defined by a*b = a+b + ab, where a, b `inR`, then the value of 1*(2*3) is

A

23

B

12

C

13

D

32

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTION

    MODERN PUBLICATION|Exercise EXAMPLE|212 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|543 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXAMPLE|13 Videos

Similar Questions

Explore conceptually related problems

Let * be a binary operation on set R of real numbers defined by a * b = a + b where a, b in R . then the value of 6 * (3 * 3) is :

Let * be a binary operation on set R of real numbers defined by a * b = a + b where a, b in R . then the value of 6 * (3 * 4) is :

Let * be a binary operation on set R of real numbers defined by a * b = a + b where a, b in R . then the value of 4 * (5 * 6) is :

Let ** be a binary operation defined by a **b =2a + b-3 Find 3 ** 4 .

Let '*' be a binary operation on N given by a*b = H.C.F (a,b), a,b in N. Write the value of 22*4.

Let ** be a binary operation on N given by a ** b = HCF (a, b), a, b, inN . Write the value of 22**4 .

Let * be the binary operation defined on R by a * b = 1 + ab for all a, b in R, then the operation * is

If a binary operation is defined by a ** b = a^b , then 3 ** 2 is equal to :

If a binary operation is defined by a * b = a^b then 3 * 2 is equal to :

If a binary operation is defined by a ** b= a^b , then 2 ** 3 is equal to :

MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. let '*' be a binary operation on R defined by a*b = a+b + ab, where a,...

    Text Solution

    |

  2. Which one of the following graph represents the function of x? Why?

    Text Solution

    |

  3. Show that a one-one function f : {1, 2, 3} rarr {1, 2, 3} must be onto...

    Text Solution

    |

  4. Let A be the set of all 50 students of class XII in a school. Let f: A...

    Text Solution

    |

  5. Prove that the function f : RrarrR given by f (x) = 2x is one-one and...

    Text Solution

    |

  6. Show that the function: f: N rarr N given by f(1) = f (2) = 1 and f (x...

    Text Solution

    |

  7. Show that function f: Rrarr R given by f(x) = x^2 is neither one-one n...

    Text Solution

    |

  8. Show that f : NrarrN , given by : f(x) = {(x+1,,if x is odd,,),(x-1,,i...

    Text Solution

    |

  9. If f : R rarr R is defined by f(x) = x + 2, find f(f(x))

    Text Solution

    |

  10. If f : R rarr R be given by: f(x) = (3-x^3)^1//3, then f(f(x)) is:

    Text Solution

    |

  11. If f(x) = (x+1)/(x+2) and g(x) = x^2, then find fog

    Text Solution

    |

  12. If f(x) = (x+1)/(x+2) and g(x) = x^2, then find gof.

    Text Solution

    |

  13. Find gof and fog, if f(x) = |x| and g(x) = |5x -2|

    Text Solution

    |

  14. Let f(x) = (4x+3)/(6x-4), x ne 2/3 .show that fof (x) = x.

    Text Solution

    |

  15. Find gof and fog if f: RrarrR and g: R rarr R are given by f(x) = co...

    Text Solution

    |

  16. If the function f : R rarr R given by f(x) = x^2 +2 and g RrarrR be g...

    Text Solution

    |

  17. Let f : { 1, 2, 3} rarr {a, b, c} be one-one and onto function given b...

    Text Solution

    |

  18. Let A = R- {3} and B = R- {1}. If f: ArarrB is a function defined by ...

    Text Solution

    |

  19. Let Y = {n^2 : n in N} sub N Consider f : N rarr Y as f (n) = n^2 Show...

    Text Solution

    |

  20. Let f: Nrar R be a function defined as : f(x) = 4x^2 + 12 x + 15. Sho...

    Text Solution

    |

  21. Let f : N rarr N be a function deifned by f(x) = 9x^2 + 6x - 5. Show ...

    Text Solution

    |