Home
Class 14
MATHS
If (p^2)/(q^2) + (q^2)/(p^2) =1, then th...

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

A

14441

B

14401

C

144001

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A

`P = ((2oplus2)©2)©2) = ((13) ©2) ©2) = (122©2) = 144401
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

(p+q)/(pq)=2,(p-q)/(pq)=6 then find the value of p&q

If p+q=2 , pq=1 then the value of p^3+q^3+6p^2+5q^2+6pq is

If p and q are two quantities such that p^(2) +q^(2) =1 , then maximum value of p + q is

If p/q = ( 2/3 )^2 div ( 6/7 )^0 , find the value of ( q/p )^2

P ** q = p^2 - q^2 p % q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = pq + p + q p Delta q = Remainder of p/q p © q = greatest integer less than or equal to p/q . If p = 11 and q = 7 , then the value of (p ** q) @ (p $ q) is:

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. If a o+ b = a^3 + b^2 + 1 a © b = (a - b)^2 + 1 a ** b = a^3 - b...

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The value of [Max (2,4)$ "Min" (6,8)] # [ "Min" (10,12) $ Max (14,16)]

    Text Solution

    |