Home
Class 10
MATHS
If a prop b and b prop c, then prove tha...

If `a prop b` and `b prop c`, then prove that `a^3 + b^3 + c^3 prop 3abc`.

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2018

    UNITED BOOK HOUSE|Exercise Exercise |53 Videos

  • RAMAKRISHNA MISSION VIDYALAYA, NARENDRAPUR

    UNITED BOOK HOUSE|Exercise EXERCISE|53 Videos

Similar Questions

Explore conceptually related problems

If a prop b, then

If a prop b and prop c , then show that (a^3b^3+b^3c^3+c^3a^3) prop abc (a^3+b^3+c^3) .

If a prop1/b , then

If a/b prop (a+b) and b/a prop (a-b) , then show that a^2 -b^2 = constant.

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 prove that : (x^2+y^2+z^2) prop (xy+yz+zx) .

If x prop yz and y prop zx, then prove that z is a non- zero variation constant.

If a, b, c are in GP then prove that a^3, b^3, c^3 are in GP.

If a^(2) +b^(2) prop ab , then prove that (a+b) prop (a-b).

If a + b + c = 0 , then prove that a^(3)+b^(3)+c^(3)=3abc

UNITED BOOK HOUSE-QUESTION PAPER 2020-Exercise
  1. Three friends invested ₹ 1,20,000, ₹ 1.50,000 and ₹ 1,10,000 respectiv...

    Text Solution

    |

  2. Answer any one question : Solve 1/x -3 - 1/x + 5 = 1/6.

    Text Solution

    |

  3. The product of two consecutive positive odd numbers is 143 Construct t...

    Text Solution

    |

  4. Answer any one question : x = 2 + sqrt3 and x + y = 4, then find the s...

    Text Solution

    |

  5. If a prop b and b prop c, then prove that a^3 + b^3 + c^3 prop 3abc.

    Text Solution

    |

  6. Answer any one question : If x : a = y : b = z : c, then show that (x^...

    Text Solution

    |

  7. If ay - bx/c = cx - az/b = bz - cy/a, then prove that x/a = y/b = z/c.

    Text Solution

    |

  8. Answer any one question : Prove that angles in the same segment of a c...

    Text Solution

    |

  9. Prove that if two tangents are drawn to a circle from a point outside ...

    Text Solution

    |

  10. Answer any one question : Two circle intersect each other at the point...

    Text Solution

    |

  11. ABC is a right angled triangle whose angleA = 90^@, AD is perpendicula...

    Text Solution

    |

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

    Text Solution

    |

  13. Draw a circle of radius 3 cm. Construct a tangent to the circle at a p...

    Text Solution

    |

  14. Answer any two questions : If sin 17^@ = x/y, show that sec 17^@ - sin...

    Text Solution

    |

  15. If the sum of two angles is 135^@ and their difference is Pi/2, then t...

    Text Solution

    |

  16. The length of outer and inner radii of a hollow right circular pipe ar...

    Text Solution

    |

  17. A hemispherical bowl with radius of 9 cm is completely filled with wat...

    Text Solution

    |

  18. The diameter of the base of a right circular cone is 21 metres and hei...

    Text Solution

    |

  19. Find the median of given data :

    Text Solution

    |

  20. Find the mode of data from the following frequency distribution table ...

    Text Solution

    |