Home
Class 10
MATHS
If ((1)/(x)-(1)/(y))prop1/(x-y),then sho...

If `((1)/(x)-(1)/(y))prop1/(x-y)`,then show that `(x^2 + y^2)propxy`.

Promotional Banner

Topper's Solved these Questions

  • Quadratic Surds

    UNITED BOOK HOUSE|Exercise Exercise |30 Videos
  • QUESTION PAPER 2017

    UNITED BOOK HOUSE|Exercise Exercise |55 Videos

Similar Questions

Explore conceptually related problems

If (3x-4y) prop sqrt(xy) then show that (x^2+y^2) prop xy .

If (x+y) prop (x-y), then prove that (x^(2)+y^(2)) prop xy .

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

If (x+y) prop (x-y) , then show that (x^(3) +y^(3)) prop (x^(3)-y^(3)) .

If (x^(3)+y^(3) )prop (x^(3)-y^(3)) , then prove that (x+y) prop (x-y).

If (x^3 -y^3) prop (x^3 +y^3) then prove that (x - y) prop ( x + y)

If (x^6+(1)/(y^6)) prop (x^6-(1)/(y^6)) , then prove that y prop 1/x .

If y=(sin^(-1) x)/(sqrt(1-x^2)) , then show that (1-x^2)(d^2y)/(dx^2)-3x(dy)/(dx)-y=0 .

answer the foll. Questions: (i) if y=(sin^(-1)x)/(sqrt(1-x^2)) , then show that (1-x^2) (d^2y)/dx^2-3x dy/dx -y=0

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

UNITED BOOK HOUSE-QUESTION PAPER 2019-Exercise
  1. If the price of 1 dozen pen is reduced by ₨. 6, then 3 more pens will ...

    Text Solution

    |

  2. Answer any One question : Simplify : (4sqrt3)/(2-sqrt2)-(30)/(4sqrt3-...

    Text Solution

    |

  3. If ((1)/(x)-(1)/(y))prop1/(x-y),then show that (x^2 + y^2)propxy.

    Text Solution

    |

  4. Answer any One question : If (3x - 2y) : (x + 3y) = 5 : 6, then find ...

    Text Solution

    |

  5. If b+c-a/x+y-x = c+a-b/c+x-y = a+bc/x+y-z, then prove that a/x = b/y =...

    Text Solution

    |

  6. Answer any One question : prove that semicirular angle is a right ang...

    Text Solution

    |

  7. If two circles touch each other externally then the point of contact w...

    Text Solution

    |

  8. Answer any One question : If a quadrilateral ABCD is circumscribed ab...

    Text Solution

    |

  9. If in ABC,A is right angle and BP and CQ are two medians, then prove t...

    Text Solution

    |

  10. Answer any One question : Draw a triangle ABC of which BC = 7 cm, AB ...

    Text Solution

    |

  11. Answer any One queation : Construct two circles of radii 4 cm and 2 c...

    Text Solution

    |

  12. Answer any Two questions : In triangle ABC angle C = 90^@, If BC = m ...

    Text Solution

    |

  13. Find the value of 1^3

    Text Solution

    |

  14. If angle P + angle Q = 90^@ then show that sqrt(sin P)/(cos Q)-sin P c...

    Text Solution

    |

  15. Answer any One question : From a quay of a river, 600 metres wide, tw...

    Text Solution

    |

  16. The length of the flag post at the roof of a three storied building is...

    Text Solution

    |

  17. Answer any two questions : If 64 buckets of water is withdrawn from a ...

    Text Solution

    |

  18. The diameter of cross-section of a wire is reduced by 50%. If the volu...

    Text Solution

    |

  19. 77 sq m tripal is required to make a right circular conical tent. If t...

    Text Solution

    |

  20. Answer any two questions : If the arithmetic mean of the following fre...

    Text Solution

    |