Home
Class 11
MATHS
In DeltaABC, if the sides a,b,c are the ...

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

A

`(3)/(4)`

B

`(9)/(16)`

C

`(9)/(8)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLIC FUNCTIONS|10 Videos
  • REAL FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-1|34 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 Videos

Similar Questions

Explore conceptually related problems

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

IF C and D are the roots of (x-a) (x-b) -k=0 then the roots of (x-c) (x-d)+k=0 are

In Delta ABC, " if " sin A , sin B are roots of c^(2) x^(2) - c( a+ b) x+ ab = 0 then sin C =

If the roots of 2x^(3) - 3x^(2) - 11x + 6 = 0 are in A.P. then the roots are

If a,b and c are the roots of x^(3) +qx+r=0 , then (a-b)^(2) +(b-c)^(2) +(c-a)^(2) =

The roots of 6x^(4) - 5x^(3) - 38x^(2) - 5x + 6 = 0 are

If sin A , sin B are roots of c^(2) x^(2) - c ( a+b) x + ab = 0 , then the Delta le is

In DeltaABC, c (a cosB-b cosA)=

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

AAKASH SERIES-REVISION EXERCISE-PROPERTIES OF TRIANGLES
  1. If a=4,b=5,c=6 then

    Text Solution

    |

  2. In DeltaABC, if a= 2, b= sqrt(6) and c= sqrt(3)+1 then A=

    Text Solution

    |

  3. In DeltaABC, if the sides a,b,c are the roots of x^(3)-11x^(2)+38x-40=...

    Text Solution

    |

  4. In triangle ABC, triangle A^(1)B^(1)C^(1) are such that B=B^(1),A+A^(1...

    Text Solution

    |

  5. In triangle ABC, right angle at B if s-a=3, s-c=2 then a,c are

    Text Solution

    |

  6. The distance of the orthocentre from the vertices A,B,C are in the rat...

    Text Solution

    |

  7. If H is the orthocentre of DeltaABC and AH=x, BH=y, CH=z then (abc)/(x...

    Text Solution

    |

  8. If the angles A,B,C of a triangle are in A.P and sides a,b,c are in G....

    Text Solution

    |

  9. In triangle ABC, range of (a^(2)+b^(2)+c^(2))/(ab+bc+ca) is (a,b,c are...

    Text Solution

    |

  10. In DeltaABC, if AD is the altitude and O is the orthocentre of DeltaAB...

    Text Solution

    |

  11. If R is the circumradius of equilateral traingle DeltaABC then circumr...

    Text Solution

    |

  12. If alpha, beta, gamma are lenghts of internal bisectors of angles A,B,...

    Text Solution

    |

  13. In DeltaABC, a=2b,|A-B|=(pi)/(3) then angle C=

    Text Solution

    |

  14. In Delta ABC , if x=tan((B-C)/(2))tan.(A)/(2),y=tan((C-A)/(2))tan.(B)/...

    Text Solution

    |

  15. In a triangle ABC, D and E are the mid-points of BC, CA respectively. ...

    Text Solution

    |

  16. The alternate vertices of a regular hexagon are joined to form another...

    Text Solution

    |

  17. In DeltaABC if r(1)=2r(1)=3r(3) and D is the mid point of BC then cos ...

    Text Solution

    |

  18. If (sin 3B)/(sinB)=((a^(2)-c^(2))/(2ac)) then a^(2),b^(2),c^(2) are in

    Text Solution

    |

  19. In DeltaABC if r(1)=R then

    Text Solution

    |

  20. IF Delta ABC,if a tan A+b tan B=(a+b) tan ((A+B)/2), then the triangle...

    Text Solution

    |