Home
Class 14
MATHS
If (x)/(a)=(y)/(b)=(z)/(c) then xy+yz+zx...

If `(x)/(a)=(y)/(b)=(z)/(c)` then `xy+yz+zx` is equal to :

A

`(a+b+c)^2//x^2+y^2+z^2`

B

`x^2(a+b+c)^2-a^2(x^2+y^2+z^2)//2a^2`

C

`ax+by+cz//(a+b+c)^2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    QUANTUM CAT|Exercise QUESTION BANK|72 Videos

  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos

Similar Questions

Explore conceptually related problems

If a^(x) =b^(y) =c^(z) and abc =1 then xy+yz+zx is equal to which of the following?

If tan ^(-1) x + tan ^(-1) y + tan ^(-1) z = (pi)/(2), then xy + yz+zx is equal to

If cos^(-1)x+cos^(-1)y+cos^(-1)z=3 pi, then xy+yz+zx is equal to

If x=1+log_(a) bc, y=1+log_(b) ca, z=1+log_(c) ab , then (xyz)/(xy+yz+zx) is equal to

If a^(x)=b, b^(y)=c, c^(z)=a , then what is the value of (1)/((xy+yz+zx))((1)/(x)+(1)/(y)+(1)/(z)) ?

If x^2/(yz)+y^2/(zx)+z^2/(xy)=3 then (x+y+z)^3=

QUANTUM CAT-ELEMENTS OF ALGEBRA-QUESTION BANK
  1. If a, b are postitive real numbers such that ab=1, then the least valu...

    Text Solution

    |

  2. If a, b, c all positive and not euqal, then the value of ((a+b+c)(ab+b...

    Text Solution

    |

  3. If a,b,c are all positive then the minimum value of the expression(a^2...

    Text Solution

    |

  4. If 1lexle3 and 2leyle4, what is the maximum value of ((x)/(y))?

    Text Solution

    |

  5. If a+b+c=3,a^2+b^2+c^2=6 and 1/a+1/b+1/c=1 where a,b,c are all non zer...

    Text Solution

    |

  6. If 2^(x) = 4^(y) = 8^(z) and xyz = 288, the value of 1/(2x) + 1/(4y) +...

    Text Solution

    |

  7. If a^x=b,b^y=c,c^z=a then the value of xyz is:

    Text Solution

    |

  8. Let x, y in N and 7x+12y=220. The number of solutions :

    Text Solution

    |

  9. If a^(x)=(x+y+z)^(y), a^(y)=(x+y+z)^(z), a^(z)=(x+y+z)^(x), then :

    Text Solution

    |

  10. If (x)/(a)=(y)/(b)=(z)/(c) then xy+yz+zx is equal to :

    Text Solution

    |

  11. In the farm - house of Bhuwan Kisan, there were total 14 deer and duc...

    Text Solution

    |

  12. In an autofair at Pragati Maidan, New Delhi, there are 600 vehicles co...

    Text Solution

    |

  13. In the battle of Mahabharat Veer Arjun destroyed all the 125 raths (ho...

    Text Solution

    |

  14. In an electric appliances shop there were some fans and coolers contai...

    Text Solution

    |

  15. In the air talent show in the eve of independence day 90 aircraft (onl...

    Text Solution

    |

  16. In the fruit market adjacent to IIM lucknow a fruit vendor has total 2...

    Text Solution

    |

  17. In the fruit market adjacent to IIM lucknow a fruit vendor has total 2...

    Text Solution

    |

  18. In the fruit market adjacent to IIM lucknow a fruit vendor has total 2...

    Text Solution

    |

  19. One day my assistant Rajesh went to a stationary shop to purchase mark...

    Text Solution

    |

  20. What is the solution of the following simultaneous equations?x+y+z=6,x...

    Text Solution

    |