Home
Class 14
MATHS
If ab + bc + ca = 8 and a^2+b^2+c^2=20, ...

If ab + bc + ca = 8 and `a^2+b^2+c^2=20`, then a possible value of `1/2 (a + b + c) [(a-b)^2+(b-c)^2+(c-a)^2]` is
यदि ab + bc + ca = 8 है और `a^2+b^2+c^2=20`, है, तो `1/2 (a + b + c) [(a-b)^2+(b-c)^2+(c-a)^2]` का संभावित मान है :

A

72

B

56

C

84

D

80

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • 2018 Main Exam 2nd Shift

    PINNACLE|Exercise EXERCISE|280 Videos
  • AVERAGE

    PINNACLE|Exercise EXERCISE|164 Videos

Similar Questions

Explore conceptually related problems

If a,b,c in R and a^(2)+b^(2)+c^(2)=1, then the possible values of [ab+bc+ca] are

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

If ab + bc + ca = 8 and a+b+c = 12 then (a^(2) + b^(2) + c^(2)) is equal to :

If a + b + c = 0, then the value of a^2/(bc) +b^2/(ca)+c^2/(ab) is : यदि a + b + c = 0 तो a^2/(bc) +b^2/(ca)+c^2/(ab) का मान ज्ञात करें

PINNACLE-ALGEBRA-EXERCISE
  1. If a^2+b^2+64c^2+16c + 3=2 (a+b), then the value of 4a^7+b^7+8c^2 is ...

    Text Solution

    |

  2. If x + y = 1 and xy(xy - 2) = 12, then the value of x^4+y^4 is: यदि ...

    Text Solution

    |

  3. If ab + bc + ca = 8 and a^2+b^2+c^2=20, then a possible value of 1/2 (...

    Text Solution

    |

  4. If x = a +1/a and y=a-1/a then sqrt(x^4+ y^4-2x^2y^2) is equal to : ...

    Text Solution

    |

  5. If 2x^2+y^2+6x-2xy+9=0, then the value of 4x^3-y^3+x^2y^2 is: यदि 2x...

    Text Solution

    |

  6. If x + y = 12 and xy = 27, x > y, then the value of (x^3-y^3) is: यद...

    Text Solution

    |

  7. If x^2+y^2+z^2=133,xy +yz + zx = 114 and xyz = 216, then the value of ...

    Text Solution

    |

  8. If a+1/a=3, then (a^4+1/a^4) is equal to : यदि a+1/a=3 है, तो (a^...

    Text Solution

    |

  9. If x^4-6x^2-1=0, then the value of x^6- 5x^2+5/x^2-1/x^6+5= ? यदि x^...

    Text Solution

    |

  10. If x = 2 - p , then x^3+6xp+p^3, is equal to: यदि x = 2 - p है, तो x...

    Text Solution

    |

  11. If 9a^2+4b^2+c^2+21= 4(3a + b - 2c), then the value of (9a + 4b - c) i...

    Text Solution

    |

  12. If x^2-3x-1=0, then the value of (x^2+ 8x-1)(x^3+x^(-1))^-1 is: यदि ...

    Text Solution

    |

  13. If (6x)/(2x^2+5x-2)=1, x > 0 , then the value of x^3+1/x^3 is: यदि(6...

    Text Solution

    |

  14. If 4x^2-6x+1=0, then the value of 8x^3 +(8x^3)^-1 is: यदि 4x^2-6x+1...

    Text Solution

    |

  15. If x + y + z = 0 , then the value of (x^2+y^2 +z^2) div (z^2-xy) is : ...

    Text Solution

    |

  16. If sqrtx- 1/sqrtx=4, then x^2+1/x^2 is equal to: यदि sqrtx- 1/sqrtx=...

    Text Solution

    |

  17. If (3x-1)^3+(4x-3)^3+ (2x+1)^3= 3(3x - 1)(4x - 3)(2x +1) and x ne 1/3 ...

    Text Solution

    |

  18. If x-5 sqrtx-1=0, then x^2+1/x^2 is equal to : यदि x-5 sqrtx-1=0 ह...

    Text Solution

    |

  19. If x + y = 7 and xy = 10, then the value of x^3+y^3 is: यदि x + y = ...

    Text Solution

    |

  20. If a + b + c = 5 ,a^2+b^2+c^2=27 and a^3+b^3+c^3=125, then the value o...

    Text Solution

    |