Home
Class 11
MATHS
Prove that (1+cos(A-B)cosC)/(1+cos(A-C)c...

Prove that `(1+cos(A-B)cosC)/(1+cos(A-C)cosB)=(a^(2)+b^(2))/(a^(2)+c^(2))`

A

` ( a^(2)+b^(2))/( a^(2) + c^(2))`

B

` ( a^(2)-b^(2))/( a^(2) - c^(2))`

C

` 2( ( a^(2)+b^(2))/( a^(2) + c^(2)))`

D

` 3( ( a^(2)+b^(2))/( a^(2) + c^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I ( Straight Objective Type Questions ) |58 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I (More than One correct answer Type Questions) |4 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise EXERCISE - II|148 Videos
  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos
  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

Prove that: (1+ cos (A-B) cos C)/(1+ cos (A-C) cos B) = (a^(2) +b^(2))/(a^(2) + c^(2))

Show that (cosA)/(a)+(cosB)/(b)+(cosC)/(c)=(a^(2)+b^(2)+c^(2))/(2abc)

Show that (c-bcosA)/(b-c"cos"A)=(cosB)/(cosC)

Prove that a(bcosC-c"cos"B)=b^(2)-c^(2)

If alpha, beta are solutions of a cos theta + b sin theta = c where a, b, c in R and a^(2) + b^(2) gt 0, cos alpha ne cos beta, sin alpha ne sin beta then prove that cos alpha cos beta = (c^(2) - b^(2))/(a^(2) + b^(2))

In DeltaABC" prove that "(b-c)^(2)cos^(2).(A)/(2)+(b+c)^(2)sin^(2).(A)/(2)=a^(2)

AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE EXERCISE
  1. If a = 3, b =4 , sin A = 3/4 then angleB =

    Text Solution

    |

  2. ( b^(2) -c^(2))/( a^(2)) =

    Text Solution

    |

  3. Prove that (1+cos(A-B)cosC)/(1+cos(A-C)cosB)=(a^(2)+b^(2))/(a^(2)+c^(2...

    Text Solution

    |

  4. If = 60 ^(@) , B= 30 ^(@) " then " a: b: c

    Text Solution

    |

  5. If the angles of a triangle are in the ratio 1:2:7, then the ratio of ...

    Text Solution

    |

  6. In Delta ABC , if a= sqrt3 + 1, b = 2, B = 45 ^(@) , then A =

    Text Solution

    |

  7. In Delta ABC , if A =30 ^(@) , b= 8 , a = 6 B= sin ^(-1) x , then ...

    Text Solution

    |

  8. In Delta ABC, if a=7,b=7sqrt3 and right angled at C, then c=

    Text Solution

    |

  9. In Delta ABC , side c= 2 sqrt2 and angle A= 30 ^(@) and if the ...

    Text Solution

    |

  10. If the sum of the squares of the sides of a triangles ABC is equal ...

    Text Solution

    |

  11. If the sides of a triangles are in the ratio 2 : sqrt6 : sqrt3 + 1 ...

    Text Solution

    |

  12. If the angles of a triangles are 30 ^(@) , 45 ^(@) and the include...

    Text Solution

    |

  13. IF the perimeter of a triangle is 12 times the arithmetic mean of the ...

    Text Solution

    |

  14. In Delta ABC , if b=c = R then A =

    Text Solution

    |

  15. IF the angles of a triangle are in the ratio 2:3:5, then the ratio of ...

    Text Solution

    |

  16. If the angles of a triangles are in the ratio 1: 5: 6 then the ratio...

    Text Solution

    |

  17. In Delta ABC , if a= 2, b= 3 , c=4 then cos A =

    Text Solution

    |

  18. In DeltaABC , if a =4 , b = 5, c= 60 ^(@) , then C =

    Text Solution

    |

  19. If in a triangle ABC, the altitudes from the A,B,C on opposite sides a...

    Text Solution

    |

  20. If the angles of a triangle are in A.P., a=2 c= 4 , then b=

    Text Solution

    |