Home
Class 10
MATHS
If x/y alphax+y and y/x alpha x-y, then ...

If `x/y alphax+y` and `y/x alpha x-y`, then show that `x^2-y^2`= constant.

Promotional Banner

Topper's Solved these Questions

  • BEGUNKODAR HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|54 Videos
  • Compound Interest and Uniform rate of Increase or Decrease

    UNITED BOOK HOUSE|Exercise Exercise |29 Videos

Similar Questions

Explore conceptually related problems

If x+y alpha x-y then

If x alpha yz and y alpha zx , then show that (z!=0) is a constant.

If x/y inftyx+y and y/x infty x^2-xy+y^2 , then show that x^3+y^3 is constant.

If 1/x-1/y prop 1/(y-x) then show that x/y is constant.

If x^2+y^2 alpha xy then show that x+y alpha x-y .

x prop y^2 and y = 2a when x = a, then show that y^2 = 4ax .

If x+y alpha x-y show that x^3+y^3 alpha x^3-y^3 .

If 1/x-1/y alpha 1/(y-x) , show that x alpha y .

If x+y alphaz, when y is constant, (x+z) alpha y when z is constant, then show that (x+y+z) alpha yz when y and z both are constant.

UNITED BOOK HOUSE-BIDHANNAGAR GOVT, HIGH SCHOOL-EXERCISE
  1. If a two digit positive number is multiplied by its unit digit, then t...

    Text Solution

    |

  2. If x= sqrt3+sqrt2 ,find the value of x^3-1/x^3.

    Text Solution

    |

  3. If x/y alphax+y and y/x alpha x-y, then show that x^2-y^2= constant.

    Text Solution

    |

  4. If 1/(b+c)+1/(c+a) = 2/(a+b) , show that a^2+b^2=2c^2,

    Text Solution

    |

  5. If a+b+c= 0 prove that 1/(2a^2+bc)+1/(2b^2+ca)+1/(2c^2+ab)=0

    Text Solution

    |

  6. State and Prove Pythagoras theorem.

    Text Solution

    |

  7. If two tangents are drawn to a circle from a point outside it, them th...

    Text Solution

    |

  8. O is the centre of a centre having diameter AB. P is any point on the ...

    Text Solution

    |

  9. AB and CD are two chords of a cricle. Extended BA and CD intersect at ...

    Text Solution

    |

  10. Draw the mean proportional of line segments of lengths 4 cm and 3 cm.

    Text Solution

    |

  11. use bal to draw the circumcircle of a right angled triangle having the...

    Text Solution

    |

  12. If sin theta+ cosec theta= 2 then find the value of sin^10theta+cosec ...

    Text Solution

    |

  13. Find the value of 4/3 cot^2 30^@+2 sin^2 60^@-2cosec^2 60^@-3/4 tan^2 ...

    Text Solution

    |

  14. Prove that tan 7^@ tan23^@ tan60^@tan67^@tan83^@ = sqrt3.

    Text Solution

    |

  15. The length of shadow of a tower standing on the ground is found to be...

    Text Solution

    |

  16. Find the number of zeros at the end of 100! ?

    Text Solution

    |

  17. Answer any two questions : Determine the volume of a solid right circu...

    Text Solution

    |

  18. If two circles of radii 7 cm and 3 cm touch each other extermally, the...

    Text Solution

    |

  19. If the glass of tubelight is 105 cm long and external circumference is...

    Text Solution

    |

  20. Find the median of the following frequency distribution table.

    Text Solution

    |