Home
Class 9
MATHS
If (a^2+b^2)(x^2+y^2)=(ax+by)^2 then pro...

If `(a^2+b^2)(x^2+y^2)=(ax+by)^2` then prove that `x/a=y/b`.

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES AND INEQUATIONS

    KALYANI PUBLICATION|Exercise EXERCISE|126 Videos

  • HARDER PRODUCT AND FACTORISATION

    KALYANI PUBLICATION|Exercise EXERCISE|148 Videos

  • LOGARITHMS

    KALYANI PUBLICATION|Exercise EXERCISE|122 Videos

Similar Questions

Explore conceptually related problems

If log((x+y)/2)=1/2(logx+logy) ,then prove that x=y

If x = a^2 - b^2, y = 2ab, z = a^2+b^2 , then prove that x^6+y^6-z^6+3x^2y^2z^2=0

If log((x+y)/3)=1/2(logx+logy) ,then prove that x/y+y/x=7

If a,b,c are positive unequal real numbers then prove that a^2+b^2+c^2=1=x^2+y^2+z^2 ,then prove that az+bx+cyle1 .

If a,b,x,y are four unequal real numbers and x^2+y^2=5 , a^2+b^2=3 ,then prove that ax+bylt4 .

If x^2+y^2=11xy ,then prove that log((x+y)/13)=1/2(logx+logy)

If x^2+y^2=7xy ,then prove that log(x+y)=log3+1/2(logx+logy)

If (a+ib)/(c-id)=x+iy ,then prove that (a+ib)/(c-id)=x+iy and (a^2+b^2)/(c^2+d^2)=x^2+y^2

If y = 3e^(2x) + 2e^(3x) , then prove that (d^2y)/(dx^2) - 5 (dy)/(dx) + 6y = 0

If a^x = b^y and b^x = a^y , prove that a = b

KALYANI PUBLICATION-INEQUALITIES AND INEQUATIONS-EXERCISE
  1. Prove that in any triangle, the semi perimeter is greater than each of...

    Text Solution

    |

  2. Prove that in any quadrilateral the sum of the diagonals is greater th...

    Text Solution

    |

  3. If (a^2+b^2)(x^2+y^2)=(ax+by)^2 then prove that x/a=y/b.

    Text Solution

    |

  4. If a,b,c are positive unequal real numbers then prove that a^2+b^2+c...

    Text Solution

    |

  5. If a,b, c and x, y, z are all positive and unequal, then prove that, ...

    Text Solution

    |

  6. If a,b, c and x, y, z are all positive and unequal, then prove that, ...

    Text Solution

    |

  7. If x, y, z are all positive real numbers, then prove that, If x+y+z...

    Text Solution

    |

  8. If a,b, c and x, y, z are all positive and unequal, then prove that, ...

    Text Solution

    |

  9. If x + y=5, then find the greatest value of 10xy.

    Text Solution

    |

  10. If 2x+ 3y = 5, then find the greatest value of 8xy.

    Text Solution

    |

  11. If 7/12xy=21, then find the minimum value of 5(x+y).

    Text Solution

    |

  12. Find the solution sets of the following inequations. 7(3-2x)+5(x-1)l...

    Text Solution

    |

  13. Find the solution sets of the following inequations. 5(x-11)+4gt2(x-...

    Text Solution

    |

  14. Find the solution sets of the following inequations. 8(2x-7)-9(3x-14...

    Text Solution

    |

  15. Find the solution sets of the following inequations. 13x-4(5x-8)+17g...

    Text Solution

    |

  16. Find the solution sets of the following inequations. 14(x-4)+3(x+5)l...

    Text Solution

    |

  17. Find the solution sets of the following inequations. a^2(x-a)+b^2(x-...

    Text Solution

    |

  18. Find the solution sets of the following inequations. (x-6)/5+(x-4)/3...

    Text Solution

    |

  19. Find the solution sets of the following inequations. x/10+(2x-13)/9g...

    Text Solution

    |

  20. Find the solution sets of the following system of inequations. 4x+3g...

    Text Solution

    |