Home
Class 10
MATHS
If (a+b-c)/(a+ b) =(b+c-a)/(b+c) = (c+a-...

If `(a+b-c)/(a+ b) =(b+c-a)/(b+c) = (c+a-b)/(c+a)` and `a+b+cne 0,` then prove that a = b = c.

Promotional Banner

Topper's Solved these Questions

  • RIGHT CIRCULAR CYLINDER

    CALCUTTA BOOK HOUSE|Exercise Exercise - 2 (Long-answer type questions)|11 Videos
  • SIMILARITY

    CALCUTTA BOOK HOUSE|Exercise Exercise 5.2|27 Videos

Similar Questions

Explore conceptually related problems

Answer any One question : If a+b-c/a+b = b+c-a/b+c = c+a-b/c+a and a+b+c ne 0, then prove that a = b = c.

If a/(b +c) = b/(c+a) = c/(a+b) " and " a + b + c ne 0 , then prove that a = b = c .

If b/(a + b) = (3a - c - b)/(2b + c -a) = (-a+3c)/(2a - b + 3c) ( "where " a + b + c ne 0) , then prove that a = b = c .

If (a + b + c + d) : (a + b - c - d) = (a - b + c - d):(a-b-c+d) , then prove that a : b = c :d .

If b/(a+b) = (a+c-b)/(b+c-a) = (a+b+c)/(2a+b+2c)("where " a + b + c ne 0) , then prove that a/2 = b/3 = c/4 .

If (a + b + c + d) (a - b - c + d) = (a + b - c - d) (a - b + c - d) , then prove that a : b = c : d

If (a(b+c-a))/(loga) = (b(c+a-b))/(logb) = (c(a+b-c))/(logc) , then prove that b^(c ) . c^(b) = a^(c ).c^(a) = a^(b).b^(a) .

If (a+b)/(b+c) = (c+d)/(d+a) then prove that either c= a or a+b+c+d = 0.

If 4^a=36^b =9^c , then prove that (b)/(a)+(b)/( c)=1 .

If a^(3)+b^(3)+c^(3)=3abc and a+b+cne0 , then

CALCUTTA BOOK HOUSE-SAMPLE QUESTIONS PAPERS-QUESTION
  1. y is the sum of two variables, one of which vaaries directly with the ...

    Text Solution

    |

  2. An agricultural co-operative society of village Pachla has purchased a...

    Text Solution

    |

  3. If (a+b-c)/(a+ b) =(b+c-a)/(b+c) = (c+a-b)/(c+a) and a+b+cne 0, then p...

    Text Solution

    |

  4. If x = (4ab)/(a+b), then find the value of (x+2a)/(x-2a) +(x+2b)/(x-...

    Text Solution

    |

  5. State and prove Pythangoras theorem.

    Text Solution

    |

  6. Prove that the opposite angles of a cyclic quadrilateral are suplemena...

    Text Solution

    |

  7. In DeltaABC, /A = 90^@ If CD be a median, then prove that BC^2 = CD^2...

    Text Solution

    |

  8. Construct a circle of radius 2*8 cm. Take a point at a distance of 8 ...

    Text Solution

    |

  9. If the sum of two angles be 135^@ and the difference of them be pi/12...

    Text Solution

    |

  10. If x sin 60^@ cos^@ 30^@ = (tan^2 45^@ sec 60^@)/("cosec 60"^@) then ...

    Text Solution

    |

  11. If tan50^(@) = p/q, then find the value of cos40^@.

    Text Solution

    |

  12. A passenger of an aeroplane observes that Howrah station is at one sid...

    Text Solution

    |

  13. The lengths of shadow of a tower standing on the ground is found to be...

    Text Solution

    |

  14. If 64 water - filled buckets of equal volume are taken out from a cub...

    Text Solution

    |

  15. A right circular cylindrical tank of 9 metre height is filled with wa...

    Text Solution

    |

  16. Calculate how many bullets with lengths of 1 cm radius may be formed b...

    Text Solution

    |

  17. Find the value of(sqrt2+sqrt3)div(sqrt2-sqrt3).

    Text Solution

    |

  18. Find the value of(sqrt5+2)div(sqrt3-1).

    Text Solution

    |

  19. Find the value of 4div(3-sqrt2).

    Text Solution

    |

  20. If a principal becomes dublein 10 years. Then the rate of simple inter...

    Text Solution

    |