Home
Class 12
MATHS
In a triangle ABC, prove that (a^2+b^2-c...

In a triangle ABC, prove that `(a^2+b^2-c^2)tan C-(b^2+c^2-a^2)tan A=0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|69 Videos

  • SERIES

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|76 Videos

Similar Questions

Explore conceptually related problems

In a triangle ABC, prove that: tan^2, A/2+tan^2, B/2+tan^2, C/2ge1

In a triangle ABC , (a^2-b^2-c^2) tan A +(a^2-b^2+c^2) tan B is equal to

For any triangle ABC,prove that (b^(2)-c^(2))/(a^(2))sin2A+(c^(2)-a^(2))/(b^(2))sin2B+(a^(2)-b^(2))/(c^(2))sin2C=0

In any triangle ABC, prove that: (b-c)/(b+c)=(tan((b-C)/(2)))/(tan((B+C)/(2)))

In triangle ABC(a^(2)-b^(2)-c^(2))tan A+(a^(2)-b^(2)+c^(2))tan B=

In tringle ABC (a^(2)-b^(2)-c^(2))tan A+(a^(2)-b^(2)+c^(2))tan B=

In a triangle ABC, prove that (a)cos(A+B)+cos C=0(b)tan((A+B)/(2))=cot((C)/(2))

In any triangle ABC, prove that following: (c)/(a-b)=(tan((A)/(2))+tan((B)/(2)))/(tan((A)/(2))-tan((B)/(2)))

In any triangle ABC, prove that following: (c)/(a+b)=(1-tan((A)/(2))tan((B)/(2)))/(1+tan((A)/(2))tan((B)/(2)))

If A,B,C are the interior angles of a triangle ABC, prove that (tan(B+C))/(2)=(cot A)/(2)

MAHAVEER PUBLICATION-PROPERTIES OF TRIANGLES-QUESTION BANK
  1. In any triangle ABC, the side are a=7,b=5 and c=8. Find A.

    Text Solution

    |

  2. Find the greatest angle of the triangle whose sides measure 3 cm, 4 cm...

    Text Solution

    |

  3. In a triangle ABC, prove that (a^2+b^2-c^2)tan C-(b^2+c^2-a^2)tan A=0

    Text Solution

    |

  4. Prove that in triangle ABC “tan”(B-C)/2=(b-c)/(b+c)”cot” A/2

    Text Solution

    |

  5. In triangle ABC , prove that (b+c)cos A +(c+a)cos B +(a+b)cos C=a+b+c.

    Text Solution

    |

  6. If a=3,b=4 and c=5, find cos A, cos B and cos C.

    Text Solution

    |

  7. The sides of a triangle are 8 cm, 10 cm and 12 cm, find the greatest a...

    Text Solution

    |

  8. The sides of a triangle are 3 cm, 5 cm and 7 cm. Find the greatest ang...

    Text Solution

    |

  9. A triangle side are few 7 cm, 4sqrt3 cm and sqrt(13) cm then the smal...

    Text Solution

    |

  10. In any triangle ABC, ifangle C=90^@, AC=4 unit, BC=3, find AB.

    Text Solution

    |

  11. For any triangle ABC, prove that(a+b)/c=(cos((A-B)/2))/(sinC/2)

    Text Solution

    |

  12. For any triangle ABC, prove that(a-b)/c=(sin((A-B)/2))/(cosC/2)

    Text Solution

    |

  13. In any triangle A B C prove that: sin((B-C)/2)=((b-c)/a)cosA/2

    Text Solution

    |

  14. For any triangle ABC, prove that a(bcosC-ccosB)=b^2-c^2

    Text Solution

    |

  15. In DeltaABC, prove that: a(cosC-cosB)=2(b-c)cos^(2)A/2

    Text Solution

    |

  16. In any triangle A B C prove that: sin((B-C)/2)=((b-c)/a)cosA/2

    Text Solution

    |

  17. In any triangle A B C , prove that: ("sin"(B-C))/("sin"(B+C))=(b^2-c^2...

    Text Solution

    |

  18. In any triangle A B C prove that: sin((B-C)/2)=((b-c)/a)cosA/2

    Text Solution

    |

  19. In any triangle A B C , prove that: (b-c)cot A/2+(c-a)cot B/2+(a-b)cot...

    Text Solution

    |

  20. In any triangle A B C , prove that: \ a^3sin(B-C)+b^3sin(C-A)+c^3sin(A...

    Text Solution

    |