Home
Class 14
MATHS
If a o+ b = a^3 + b^2 + 1 a © b = (a ...

If `a o+ b = a^3 + b^2 + 1`
`a © b = (a - b)^2 + 1`
`a ** b = a^3 - b^2 + 1`
The value of `P = (((2 o+ 2) © 2)` is :

A

40001

B

10804

C

40401

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D

((1oplus2)*2©1) = ((6*2)©1) = (213©1) = (212)^2+1 = 44945`
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos
  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos

Similar Questions

Explore conceptually related problems

If a o+ b = a^3 + b^2 + 1 a © b = (a - b)^2 + 1 a ** b = a^3 - b^2 + 1 The value of P = (((1 o+ 2) ** 2) © 1) is :

If a o+ b = a^3 + b^2 + 1 a © b = (a - b)^2 + 1 a ** b = a^3 - b^2 + 1 If P = (2 o+ 3)© (3 ** 5) , then the value of P is :

a o+ b=(a+b)^(2)-ab a**b=(ab)^(2)-ab a"@"b=(a-b)^(2)-ab Find the value of (((1o+2)**3)"@" 20) :

If a=3 and b=1, what is the value of 2a-3(2-b)?

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. Find the Geometric mean of 3, 9, 27.

    Text Solution

    |

  2. If a o+ b = a^3 + b^2 + 1 a © b = (a - b)^2 + 1 a ** b = a^3 - b...

    Text Solution

    |

  3. If a o+ b = a^3 + b^2 + 1 a © b = (a - b)^2 + 1 a ** b = a^3 - b...

    Text Solution

    |

  4. If (p^2)/(q^2) + (q^2)/(p^2) =1, then the value of (p^6 +q^6) is

    Text Solution

    |

  5. In the following division problem some digits are replaced by letters ...

    Text Solution

    |

  6. In the following division problem some digits are replaced by letters ...

    Text Solution

    |

  7. In the following division problem some digits are replaced by letters ...

    Text Solution

    |

  8. If F = a.(|b|).c.(|d|).e.(|f|).g(|h|).i.(|j|) and G = a.b.c. d.e.f.g.h...

    Text Solution

    |

  9. If 2f(x) = f(2x), 3f(x) = f(3x), 4f(x) = f(4x)……. etc. then f(1) + f(2...

    Text Solution

    |

  10. If f(x + 1/x) = x^2 + 1/(x^2) , then f(t) equals to :

    Text Solution

    |

  11. P ** q = p^2 - q^2 p % q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = p...

    Text Solution

    |

  12. P ** q = p^2 - q^2 p $ q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = p...

    Text Solution

    |

  13. P ** q = p^2 - q^2 p $ q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = p...

    Text Solution

    |

  14. Follow the steps to solve the given problem : Step 1. Put x = 2 and ...

    Text Solution

    |

  15. p @ q = p^2 - 20 if p > q , q 2 q = p^2 + 20 if p le q, then for a = 5...

    Text Solution

    |

  16. If x # y = (x + y)/(xy), then the value of P # (q # r) for every p, q,...

    Text Solution

    |

  17. If f(x , y) = ((x + y)^2)/(xy) for every x, y > 0 then f(x,y) must be ...

    Text Solution

    |

  18. The function f1 and f2 are defined as follows : f1 = a! + b! and f2 = ...

    Text Solution

    |

  19. For any natural number p and q (i) p # q = p^3 + q^3 + 3 and p ** q ...

    Text Solution

    |

  20. For any natural number p and q (i) p # q = p 3 + q 3 + 3 and p ∗ q = ...

    Text Solution

    |