Home
Class 10
MATHS
If a^2/(b+c)=b^2/(a+c)=c^2/(a+b)=1, then...

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

Promotional Banner

Topper's Solved these Questions

  • GARDEN REACH BIHARI DAS GIRL'S

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos
  • HATI HIGH SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

Similar Questions

Explore conceptually related problems

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

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

if b+c=a^2, c+a=b^2 and a+b=c^2 then find the value of 1/(1+a) + 1/(1+b) +1/(1+c)

If (b+c)/(a), (c+a)/(b), (a+b)/(c ) are in A.P. show that (1)/(a), (1)/(b), (1)/(c ) are also in A.P. (a+b+c != 0) .

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

If a, b, c are In A.P., then show that, (1)/(b c), (1)/(c a), (1)/(a b) are in A.P.

If (b+c-a)x = (c+a-b)y = (a+b-c) z =2,then show that (i/x+1/y) (1/y+1/z) (1/z+1/x) =abc.

If (b-c)^2,(c-a)^2,(a-b)^2 are in A.P., then prove that 1/(b-c),1/(c-a),1/(a-b) are also in A.P.

If a^2, b^2, c^2 are in A.P , then prove that 1/(b+c), 1/(c+a),1/(a+b) are in A.P

If (b-c)^(2), (c-a)^(2), (a-b)^(2) are in A.P. then prove that, (1)/(b-c), (1)/(c-a), (1)/(a-b) are also in A.P.

UNITED BOOK HOUSE-GHORANASH HIGH SCHOOL -EXERCISE
  1. If a alpha b and b alpha c, show that a^3+b^3+c^3 alpha 5 abc.

    Text Solution

    |

  2. If a,b,c are in continued proportion, then show that 1/b^2= 1/(b^2-a^2...

    Text Solution

    |

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

    Text Solution

    |

  4. Prove that opposite angles of a cyclic quadrilateral are supplementary

    Text Solution

    |

  5. State and prove Pythagoras theorem.

    Text Solution

    |

  6. Prove that two equal chords are equidistant from the centre of the cir...

    Text Solution

    |

  7. Two chords AB and AC of the larger of two concentrci circles touch the...

    Text Solution

    |

  8. Draw a triangle having sides 6cm, 8 cm and 10 cm. Now draw the incircl...

    Text Solution

    |

  9. Geometrically find the value of sqrt(35).

    Text Solution

    |

  10. If (sin theta+ cos theta)/(sin theta-cos theta) = 5 then find the valu...

    Text Solution

    |

  11. Solve: x tan 60^@cos^2 30^@ = (tan^2 45^@ sec 60^@)/(cosec 60^@)

    Text Solution

    |

  12. শূন্যস্থান পূরণ করো : x = a cos (90^@ - theta),y = b cot (90^@- theta)...

    Text Solution

    |

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

    Text Solution

    |

  14. Answer any One question : The length of the shodow of a post becomes ...

    Text Solution

    |

  15. The ratio of lengh, breadth of height of a solid cubiod is 4:3:2.If th...

    Text Solution

    |

  16. Three spheres made of copper having the lengths of 3 cm. 4 cm and 5 cm...

    Text Solution

    |

  17. The base radius of a right circular cylinder and a cone are equal and ...

    Text Solution

    |

  18. If the Ariothmetic mean of the following data is 15, then find the val...

    Text Solution

    |

  19. Find the median of the following data

    Text Solution

    |

  20. Find the mode of the following data.

    Text Solution

    |