Home
Class 12
MATHS
In a triangle ABC, if b+c=2aandangleA=60...

In a triangle ABC, if `b+c=2aandangleA=60^(@),"then "DeltaABC` is

A

Scalene

B

Equilateral

C

Isosceles

D

Right angled

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Critical Thinking|88 Videos
  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos
  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

In a Delta ABC if b+c=2a and /_A=60^(@) then Delta ABC is

In a triangle ABC, if 2b=a+c and A-C=90, then sin B equals

In a triangle ABC, if a = 2, B=60^(@)andC=75^(@) , then b =

In DeltaABC,"if "a=1,b=2,angleC=60^(@),"then "4Delta^(2)+c^(2) =

In a triangle ABC,a=3b and |A-B|= 60^(0) then tan((C)/(2))=

In a triangle ABC a= 4 , b= 3 , angle A =60 ^@ ,Then c is root of equation :-

In a triangle ABC,a/b=2+sqrt(3) and /_C=60^(@) then angle A and B is

In a triangle ABC, a= 4, b = 3, angleA= 60° . Then, c is the root of the equation

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
  1. In triangle ABC,b=sqrt3 c=1 and angleA=30^(@) then the measure of the ...

    Text Solution

    |

  2. If a, b, c are the sides of the triangle ABC such that a^(4) +b^(4) +c...

    Text Solution

    |

  3. In a triangle ABC, if b+c=2aandangleA=60^(@),"then "DeltaABC is

    Text Solution

    |

  4. If in a DeltaABC, sin A: sin C = sin (A - B): sin (B-C), then a^(2),...

    Text Solution

    |

  5. In a triangle ABC If ( 2 cos A)/a + ( cos B)/b + (2 cos C)/c = a/(bc)...

    Text Solution

    |

  6. If 4sinA=4sinB=3sinC" in a "DeltaABC, then cos C =

    Text Solution

    |

  7. Let D be the middle point of the side BC of a triangle ABC. If the tri...

    Text Solution

    |

  8. The angles of a triangle ABC are in an arithmetic progression. The lar...

    Text Solution

    |

  9. In DeltaABC,ifcotA,cotB,cotC be in A.P. then a^(2),b^(2),c^(2) are in

    Text Solution

    |

  10. If in DeltaABC,2b^(2)=a^(2)+c^(2),"then "(sin3B)/(sinB)=

    Text Solution

    |

  11. In a triangle ABC, if b^2 + c^2 = 3a^2, then cotB + cotC-cotA is equal...

    Text Solution

    |

  12. If the sides of the triangle ABC are p,q and sqrt(p^(2)+ pq+q^(2)), th...

    Text Solution

    |

  13. If the line segment joining the points A(a,b) and B(c,d) subtends an a...

    Text Solution

    |

  14. Let ABC be a triangle such that angleACB=pi/6 and let a , b and c deno...

    Text Solution

    |

  15. If two adjacent sides of a cyclic quadrilateral aré 2 and 5 and the an...

    Text Solution

    |

  16. In triangle ABC, if A = 2B, and the sides opposite to the angles A, B,...

    Text Solution

    |

  17. In triangleABC, (b+c)cosA+(c+a)cosB+(a+b)cosC=

    Text Solution

    |

  18. In DeltaABC,cosecA(sinBcosC+cosBsinC)=

    Text Solution

    |

  19. IN triangleABC, (cosC+cosA)/(c+a)+(cosB)/(b)=

    Text Solution

    |

  20. In DeltaABC, with usual notations, if a,b,c are in AP then acos^(2)((C...

    Text Solution

    |