Home
Class 14
MATHS
If ab + bc + ca = 0, then the value of 1...

If `ab + bc + ca = 0`, then the value of `1/(a^2 - bc) + 1/(b^2 - ca) + 1/(c^2 - ab)` will be :

A

`-1`

B

`a + b + c`

C

`abc`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNDAMENTALS

    ARIHANT SSC|Exercise LEVEL 1|140 Videos
  • FUNDAMENTALS

    ARIHANT SSC|Exercise LEVEL 2|123 Videos
  • FUNDAMENTALS

    ARIHANT SSC|Exercise PRACTICE EXERCISE|60 Videos
  • FUNCTIONS AND GRAPH

    ARIHANT SSC|Exercise Final Round|40 Videos
  • GEOMETRY

    ARIHANT SSC|Exercise EXERCISE(LEVEL 2)|52 Videos

Similar Questions

Explore conceptually related problems

If ab + bc + ca = 0, then what is the value of (a^(2))/(a^(2) - bc) + (b^(2))/(b^(2)-ca) + (c^(2))/(c^(2) - ab) ?

If a+b+c=0 , then the value of (a^2 + b^2 +c^2)/(bc+ca+ab) is….

The value of |(a,a^(2) - bc,1),(b,b^(2) - ca,1),(c,c^(2) - ab,1)| , is

If a+b+c=0, then find the value of (a^(2))/(bc)+(b^(2))/(ca)+(c^(2))/(ab)

ARIHANT SSC-FUNDAMENTALS -EXERCISE - MISCELLANEOUS
  1. If the sum of three consecutive integers is 21, then the sum of the tw...

    Text Solution

    |

  2. If 2s = a + b + c, then the value of (s - a)^2 + (s - b)^2 + (s - c)...

    Text Solution

    |

  3. If ab + bc + ca = 0, then the value of 1/(a^2 - bc) + 1/(b^2 - ca) + 1...

    Text Solution

    |

  4. If 4^(x + 3) xx 2^(x - 3) - 128 = 0 then the value of x is :

    Text Solution

    |

  5. If a^m .a^n = a^(mn), then m(n - 2) + n(m- 2) is :

    Text Solution

    |

  6. (6^6 + 6^6 + 6^6 + 6^6 + 6^6 + 6^6)/(3^6 + 3^6 + 3^6) div (4^6 + 4^6 +...

    Text Solution

    |

  7. If a^(1//m) = b^(1//n) = c^(1//p) and abc = 1 then m + n + p is equal...

    Text Solution

    |

  8. Which one of the following among the numbers -3/7, 2/3 and (-1)/3 is i...

    Text Solution

    |

  9. A rational equivalent to (-24)/20 with denominator 25 is :

    Text Solution

    |

  10. 3/4 xx ((-2)/3 + 3/5) is equal to :

    Text Solution

    |

  11. In a problem involving division, the divisor is eight times the quotie...

    Text Solution

    |

  12. Which one of the following is not correct ?

    Text Solution

    |

  13. Let a/b = c/d, (where a and b are odd prime numbers) . If c > a and d ...

    Text Solution

    |

  14. Which one of the following numbers belong to the given series 18,26, 3...

    Text Solution

    |

  15. The number of prime factors in the expression 6^4 xx 8^6 xx 10^8 xx 12...

    Text Solution

    |

  16. x is a five digit number. The digit in ten thousands place is 1. The n...

    Text Solution

    |

  17. The sum of all possible factors of 500 (including 1 and 500 themselves...

    Text Solution

    |

  18. HCF of 1007 and 1273 is :

    Text Solution

    |

  19. If 2s = 9 then the value of s^2 + (s - 1)^2 + (s - 3)^2 + (s - 5)^2 ...

    Text Solution

    |

  20. The sum of the digits of a two digit number is 8. The number obtained ...

    Text Solution

    |