Home
Class 12
MATHS
In triangleABC, if a^(2)+b^(2)+c^(2)=ac+...

In `triangleABC`, if `a^(2)+b^(2)+c^(2)=ac+ab sqrt(3)`, then

A

`r/r_(2) = r_(3)/r_(1)`

B

`r/r_(1) = r_(2)/r_(3)`

C

`r_(1)+r_(2)+r_(3)=2R+r`

D

`rr_(1)r_(2)r_(3)=4^(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section-C (Objective Type Questions More than one options are correct )|45 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section D (Linked Comprehension Type Questions)|24 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment Section-B (Objective Type Questions (One option is correct))|1 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

In triangleABC , (b^(2)+a^(2)-c^(2))tanC=

In triangleABC , (c^(2)+a^(2)-b^(2))tanB=

In triangleABC , if a^(2)+c^(2)-b^(2)=ac , then angleB=

If, in triangleABC, a= sqrt(2), b= sqrt(3), c = sqrt(5) , then the area of triangleABC is

If in a !ABC , a^(2)+b^(2)+c^(2)=ac+sqrt3ab then the triangle is

In triangleABC, if a=2, b=1, c=sqrt(3) , then angleB=

In triangleABC, if a=2, b=1, c=sqrt(3) , then angleA=

In triangleABC, if a=2, b=1, c=sqrt(3) , then angleC=

In a triangleABC, 2ac.sin((A-B+C)/2)=

In triangleABC, 2(bc cosA+ac cosB+ab cosC)=

AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section-B (Objective Type Questions One option is correct)
  1. A triangle has its sides in the ratio 4:5:6, then the ratio of circumr...

    Text Solution

    |

  2. In triangleABC, if ar (triangleABC)=8. Then, a^(2)sin(2B)+ b^(2)sin(2A...

    Text Solution

    |

  3. In triangleABC, if a^(2)+b^(2)+c^(2)=ac+ab sqrt(3), then

    Text Solution

    |

  4. In a triangle ABC, ab and c are the sides of the triangle satisfying t...

    Text Solution

    |

  5. In triangleABC, which is not right angled, if p=sinA sinB sinC = and q...

    Text Solution

    |

  6. In triangleABC, if R/r le 2, and a=2, then triangle is equal to (trian...

    Text Solution

    |

  7. In triangleABC, If r(1), r(2), r(3) are exradii opposites to angles A,...

    Text Solution

    |

  8. If in a triangle ABC , 2(cosA)/a+(cosB)/b+2(cosC)/c=a/(bc)+b/(ca), ...

    Text Solution

    |

  9. In triangle ABC if the line joining incenter to the circumcenter is pa...

    Text Solution

    |

  10. With usual notations, if in a triangle ABC (b+c)/(11) = (c+a)/(12) = ...

    Text Solution

    |

  11. Consider a regular polygon of 12 sides each of length one until, then ...

    Text Solution

    |

  12. If the perimeter of a triangle is 6, then its maximum area is

    Text Solution

    |

  13. In a triangle ABC, If A=B=120^(@) and R=8r, then the value of cosC is

    Text Solution

    |

  14. In a triangle ABC, we have acosB+bcosC+ccosA=(a+b+c)/2 where A, B, ...

    Text Solution

    |

  15. A regular pentagons is inscribed in a circle. If A(1) and A(2) represe...

    Text Solution

    |

  16. If a^2 +b^2+c^2 = 8R^2 , then the triangle is

    Text Solution

    |

  17. O is the circumcentre of the triangle ABC and R1,R2,R3 are the radii o...

    Text Solution

    |

  18. In triangleABC, if r(1)=2r(2) = 3r(3), then

    Text Solution

    |

  19. In triangleABC, the expression (b^(2)-c^(2))/(asin(B-C)) + (c^(2)-a^2...

    Text Solution

    |

  20. In a triangle ABC. If triangle^(2) = (a^(2)b^(2)c^(2))/(2(a^(2)+b^(2)+...

    Text Solution

    |