Home
Class 12
MATHS
In a triangle ABC, if the sides a,b,c, a...

In a triangle ABC, if the sides a,b,c, are roots of `x^3-11 x^2+38 x-40=0,` then find the value of `(cosA)/a+(cosB)/b+(cosC)/c`

Text Solution

Verified by Experts

The correct Answer is:
`((9)/(16))`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERCISE 7 : SUBJECTIVE TYPE QUESTIONS|10 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERCISE 6 : SINGLE INTEGER ANSWER TYPE QUESTIONS|1 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

If the sides a, b, c of a triangle ABC are the roots of the equation x^(3)-13x^(2)+54x-72=0 , then the value of (cosA)/(a)+(cosB)/(b)+(cosC)/(c ) is equal to :

The value of (cosA)/(P_1)+(cosB)/(P_2)+(cosC)/(P_3) is

In triangle ABC , if a=3, b=4, and c=5, then find the value of cosA.

(a+b+c)(cosA+cosB+cosC)

In a triangle ABC , if a,b,c are the sides opposite to angles A , B , C respectively, then the value of |{:(bcosC,a,c cosB),(c cosA,b,acosC),(acosB,c,bcosA):}| is (a) 1 (b) -1 (c) 0 (d) acosA+bcosB+c cosC

In a triangle ABC the sides b and c are the roots of the equation x^2-61x+820=0 and A=tan^-1(4/3) then a^2+3 is equal to

In a triangle ABC the expression a cosB cosC+b cosA cosB equals to :

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

In any triangle ABC, if a=18 , b=24 , c=30 , findcosA, cosB, cosC

In a triangle A B C ,/_C=pi/2dot If tan(A/2)a n dtan(B/2) are the roots of the equation a x^2+b x+c=0,(a!=0), then the value of (a+b)/c (where a , b , c , are sides of opposite to angles A , B , C , respectively) is

ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Subjective Type Questions)
  1. In an obtuse angled triangle, the obtuse angle is (3pi)/4 and the othe...

    Text Solution

    |

  2. If in triangle A B C a , b , ca n da ngl eA are given and csinA<a<c ,t...

    Text Solution

    |

  3. If P is a point on the altitude AD of the triangle ABC such the /C B P...

    Text Solution

    |

  4. If R denotes circumradius, then in DeltaABC,(b^2-c^2)/(2aR) is equal t...

    Text Solution

    |

  5. In DeltaABC, A = (2pi)/(3), b -c = 3 sqrt3 cm and " area of " Delta AB...

    Text Solution

    |

  6. If Delta = a^(2)-(b-c)^(2), Delta is the area of the Delta ABC then ta...

    Text Solution

    |

  7. In a DeltaABC, B=90^(@), AC=h and the length of perpendicular from B t...

    Text Solution

    |

  8. If in a Delta ABC, sin ^(3) A + sin ^(3) B+ sin ^(3) C =3 sin A .Sin...

    Text Solution

    |

  9. In a triangle ABC, if the sides a,b,c, are roots of x^3-11 x^2+38 x-40...

    Text Solution

    |

  10. If the sides a,b,c are in A.P., prove that (tan)A/2+ (tan) c/2=2/3( co...

    Text Solution

    |

  11. The sides of a triangle are in A.P. and its area is (3)/(5) th of an e...

    Text Solution

    |

  12. If AD, BE and CF are the medians of a Delta ABC, then evaluate (AD^(2)...

    Text Solution

    |

  13. Let AD be a median of the Delta ABC. If AE and AF are medians of the t...

    Text Solution

    |

  14. In DeltaABC, If x= tan((B-C)/2) tan(A/2),y= tan((C-A)/2)tan(B/2), z=...

    Text Solution

    |

  15. DeltaABC is equilateral triangle of side a. P lies on AB such that A i...

    Text Solution

    |

  16. The base of a triangle is divided into three equal parts. If theta(1),...

    Text Solution

    |

  17. If the circumradius of a triangle is 54/sqrt1463 and the sides are in...

    Text Solution

    |

  18. If the angle at the vertex of an isosceles triangle having the maximum...

    Text Solution

    |

  19. In an acute angle triangle ABC, AD, BE and CF are the altitudes, then ...

    Text Solution

    |

  20. Let P be the point inside that Delta ABC. Such that angle APB=angle BP...

    Text Solution

    |