Home
Class 10
MATHS
If x prop y and y prop z, then prove tha...

If `x prop y and y prop z`, then prove that : `(x^2+y^2+z^2) prop (xy+yz+zx)`.

Promotional Banner

Topper's Solved these Questions

  • HINDU SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|54 Videos

  • HOWRAH ZILLA SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

Similar Questions

Explore conceptually related problems

if x prop z and y prop z , then xy prop z .

If x prop y and y prop z , then prove that (x^7+y^7 +z^7) prop (x^5y^2 +x^3z^4 +y^5z^2)

If x prop y and y prop z, then show that (x^m+y^m+z^m) prop (x^3y^(m-3) +y^3z^(m-3)=z^3x^(m-3)) (m = constant)

If x prop 1/y and y prop 1/z , then x prop ……………

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

If x prop y then x^(n) prop

If x^2 prop a^2 then a prop

If x prop y, then ___

If x prop y and x prop z , tehn ( y + z) prop ………..

UNITED BOOK HOUSE-HOOGHLY COLLIGIATE SCHOOL-EXERCISE
  1. Prove that the quadratic equation (a^2+b^2)x^2+2(ac+bd)x+(c^2+d^2)=0 h...

    Text Solution

    |

  2. If x= (4sqrt(15))/(sqrt5+sqrt3), then (x+sqrt(20))/(x-sqrt(20))+(x+sqr...

    Text Solution

    |

  3. If x prop y and y prop z, then prove that : (x^2+y^2+z^2) prop (xy+yz+...

    Text Solution

    |

  4. If (x^2-yz)/a=(y^2-zx)/b=(z^2-xy)/c , show that (a+b+c)(x+y+z)=(ax+by...

    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. State and Prove Pythagoras theorem.

    Text Solution

    |

  7. Answer any One queation : Prove that, if a perpendicular is draw on t...

    Text Solution

    |

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

    Text Solution

    |

  9. ABC is a triangle whose AB = AC. E is any point an extended BC, circum...

    Text Solution

    |

  10. Geometrically find the value of sqrt(29).

    Text Solution

    |

  11. Draw a right angled triangle length of hypotenuse and one of another s...

    Text Solution

    |

  12. In a circle, if an arc of 220 cm length subtends and angle of measure ...

    Text Solution

    |

  13. If sin theta+cos theta = 7/5 then sin theta cost theta = 12/25, find t...

    Text Solution

    |

  14. Find the value of (sin 25^@)/(sec65^@)+(cos 25^@)/(cosec 65^@).

    Text Solution

    |

  15. From a point on the roof a house 11 metres height, it is observed that...

    Text Solution

    |

  16. If the angle of depression of two consecutive km stones on a road fro...

    Text Solution

    |

  17. The length and breadth of a rectangular field of the village are 20m a...

    Text Solution

    |

  18. The external radius of a hollow sphere made of lead sheet of 1 cm thic...

    Text Solution

    |

  19. The length of two sides adjacent to right angle of a right angled tria...

    Text Solution

    |

  20. Calculate the mean of the following data by step devaition method.

    Text Solution

    |