Home
Class 11
MATHS
If an a triangle A B C ,(2cosA)/a+(cosB)...

If an a triangle `A B C ,(2cosA)/a+(cosB)/b+(2cosC)/c=a/(b c)+b/(a c),` find the `/_A=` (a)`90^0` (b) `60^0` (c) `30^0` (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ALLEN|Exercise All Questions|1 Videos
  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise Do yourself -6|4 Videos

Similar Questions

Explore conceptually related problems

If in a triangle ABC, (cosA)/a=(cosB)/b=(cosC)/c ,then the triangle is

In any A B C ,2(bc cosA+ ca cosB+ab cosC) =

In a DeltaABC , if (2cosA)/a+(cosB)/b+(2cosC)/c=a/(bc)+b/(ca) , prove that angleA=90^(@) .

If in a triangle ABC , 2(cosA)/a+(cosB)/b+2(cosC)/c=a/(bc)+b/(ca) , then the value of the angle A, is

For any triangle ABC, prove that (cosA)/a+(cosB)/b+(cosC)/c=(a^2+b^2+c^2)/(2a b c)

If in a triangle A B C , (2cosA)/a+(cos B)/b+(2cosC)/c=a/(b c)+b/(c a) , then prove that the triangle is right angled.

If in a triangle A B C , (2cosA)/a+(cos B)/b+(2cosC)/c=a/(b c)+b/(c a) , then prove that the triangle is right angled.

In a triangle ABC , acosB + b cosC + c cosA =(a+b+c)/2 then

If in a Delta A B C ,(cosA)/a=(cosB)/b=(cosC)/c , then find the measures of angles A ,\ B ,\ Cdot

If in a triangle A B C ,cosA+2cosB+cosC=2 prove that the sides of the triangle are in AP

ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. In a triangle A B C , if B=30^0a n d\ c=sqrt(3)\ b , then A can be equ...

    Text Solution

    |

  2. In a triangle A B C ,\ (a^2-b^2-c^2)tanA+(a^2-b^2+c^2)tanB is equal to...

    Text Solution

    |

  3. If an a triangle A B C ,(2cosA)/a+(cosB)/b+(2cosC)/c=a/(b c)+b/(a c), ...

    Text Solution

    |

  4. A cyclic quadrilateral ABCD of area (3sqrt(3))/4 is inscribed ina unit...

    Text Solution

    |

  5. In triangleABC if 2c cos^2(A/2)+2acos^2(C/2)-3b=0 prove that a, b, c a...

    Text Solution

    |

  6. In a DeltaABC, the tangent of hald the difference of two angle is one-...

    Text Solution

    |

  7. In a triangle ABC, if 2 a cos ( B − C 2 ) = b + c , then secA is equa...

    Text Solution

    |

  8. If A is the area and 2s is the sum of the sides of a triangle, then Al...

    Text Solution

    |

  9. The base of a triangle is divided into three equal parts. If t1, t2,t3...

    Text Solution

    |

  10. In a triangle A B C , if a : b : c=4:5:6 , then ratio between its circ...

    Text Solution

    |

  11. If A ,\ B ,\ C are the angles of a triangle, prove that : cos A+cos B+...

    Text Solution

    |

  12. If in a triangle r1=r2+r3+r , prove that the triangle is right angled.

    Text Solution

    |

  13. Prove that the distance between the circumcenter and the orthocentre o...

    Text Solution

    |

  14. In the ambiguous case of the solution of triangle, prove that the c...

    Text Solution

    |

  15. If a, b and A are given in a triangle and c(1), c(2) are possible valu...

    Text Solution

    |

  16. If b , c , B are given and b &lt c,prove that cos((A1-A2)/2)=(csinB)/b

    Text Solution

    |

  17. If in a triangle ABC, cos A +cos B+cos C=3/2, prove that the triangle ...

    Text Solution

    |

  18. In a triangle A B C , if cos A+2\ cos B+cos C=2. prove that the sides ...

    Text Solution

    |

  19. In a triangle A B C\ a : b : c=sqrt(3)\ :1\ :\ 1, then the triangle is...

    Text Solution

    |

  20. The sides of a triangle A B C are x , y ,\ sqrt(x^2+y^2+x y) respectiv...

    Text Solution

    |