Home
Class 12
MATHS
In A B C ,= if (a+b+c)(a-b+c)=3a c , th...

In ` A B C ,=` if `(a+b+c)(a-b+c)=3a c ,` then find `/_Bdot`

A

`angleB=60^(@)`

B

`angleB=30^(@)`

C

`angleC=60^(@)`

D

`angleA+angleC=90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
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

If B = 3A and A = C, then find B : C.

If A = 3a - 2b, B = -2a + 3b and C = - a - b, then find A + B +C.

Let a, b, c be the sides of a triangle and let A, B, C be the respective angles. If b+c=3a, then find the value of the ratio cos((B-C)/2)/cos((B+C)/2)

If A : B : C = 2 : 3 : 4, then find (A)/(B) : (B)/(C) : (C)/(A)

If a : b = 3 : 7 and b : c = 14 : 5, then find a : b : c.

If a : b = 3 : 7 and b : c = 14 : 5, then find a : b : c.

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
  1. If in a triangle ABC, 2cosA=sinBcosecC, then

    Text Solution

    |

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

    Text Solution

    |

  3. In A B C ,= if (a+b+c)(a-b+c)=3a c , then find /Bdot

    Text Solution

    |

  4. If, in a Delta ABC, a = 6cm , b = 8 cm, c = 10cm, then : sin 2A =

    Text Solution

    |

  5. If : a = 9, b = 8 and c = x satisfies 3 cos C = 2, then : x =

    Text Solution

    |

  6. In DeltaABC, a=2cm,b=3cmandc=4cm, then angle A is

    Text Solution

    |

  7. If the lengths of the sides of a triangle are 3, 5, 7, then its larges...

    Text Solution

    |

  8. The smallest angle of the DeltaABC, when a=7,b=4sqrt(3)andc=sqrt(13) i...

    Text Solution

    |

  9. In any DeltaABC, prove that ("sin(A-B)")/("sin(A+B)")=((a^(2)-b^(2))...

    Text Solution

    |

  10. In a !ABC , if 1/(b+c)+1/(c+a)=3/(a+b+c), then angleC=

    Text Solution

    |

  11. In a DeltaABC,angleC=(pi)/(3),"then "(3)/(a+b+c)-(1)/(a+c)=

    Text Solution

    |

  12. In triangle ABC, if A+C=2B, then (a+c)/(sqrt(a^(2)-ac+c^(2))) is equal...

    Text Solution

    |

  13. In triangleABC, a(b^(2)+c^(2))cosA+b(c^(2)+a^(2))cosB+c(a^(2)+b^(2))co...

    Text Solution

    |

  14. In a triangle ABC, if (b+c) / 11 = (c+a) / 12 = (a+b) / 13 then cosA...

    Text Solution

    |

  15. In any DeltaABC under usual notation, a(bcosC-c cosB)=

    Text Solution

    |

  16. If in a DeltaABC,a^(2)cos^(2)A-b^(2)-c^(2)=0, then

    Text Solution

    |

  17. The lengths of the sides of a triangle are alpha-beta, alpha+beta and ...

    Text Solution

    |

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

    Text Solution

    |

  19. In triangle ABC,b=sqrt3 c=1 and angleA=30^(@) then the measure of the ...

    Text Solution

    |

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

    Text Solution

    |