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

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

A

`pi/4`

B

`pi/6`

C

`pi/3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (5)(FILL IN THE BLANKS)|3 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/REASON) |1 Videos

  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise COMPREHENSION |11 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

In triangleABC, (bsin(C-A))/(c^(2)-a^(2))=

In triangleABC, (csin(A-B))/(a^(2)-b^(2))=

In triangleABC, a^(2)sin(B-C)=

In triangleABC, (asin(B-C))/(b^(2)-c^(2))=

In triangleABC, a^(2) sin2C + c^(2) sin2A=

ML KHANNA-PROPERTIES OF TRIANGLES -Self Assessment Test (Multiple Choise Questions)
  1. AD is internal angle bisector of DeltaABC " at " angleA and DE perpend...

    Text Solution

    |

  2. Consider a triangle ABC and let a , b , and c denote the lengths of t...

    Text Solution

    |

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

    Text Solution

    |

  4. In Delta ABC if a= 16 , b= 24 and c = 20 then cos (B/2)

    Text Solution

    |

  5. In Delta ABC, cscA (sin B cos C + cos B sin C) =

    Text Solution

    |

  6. If in a triangles a cos^(2)(C/2)+c cos^(2)(A/2)=(3b)/2, then the sides...

    Text Solution

    |

  7. In triangleABC, If the anlges are in A.P., and b:c=sqrt(3):sqrt(2), t...

    Text Solution

    |

  8. If the angles of a triangle are in the ratio 2 : 3 : 7 ,then the sides...

    Text Solution

    |

  9. If in a right angled triangle the hypotenuse is four times as long as ...

    Text Solution

    |

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

    Text Solution

    |

  11. In a triangle ABC, right angled at C, find the value of tan A + tan B ...

    Text Solution

    |

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

    Text Solution

    |

  13. If in a DeltaABC, cos B = (sin A)/(2 sin C), then the triangle is

    Text Solution

    |

  14. Find the value of tan A, if area of Delta ABC is a^(2) -(b-c)^(2).

    Text Solution

    |

  15. If c^(2)=a^(2) +b^(2), then 4s(s-a)(s-b)(s-c) is equal to

    Text Solution

    |

  16. In a triangle PQR, angleR = pi //2. If tan (P/2) and tan (Q/2) are th...

    Text Solution

    |

  17. If in a Delta PQR, sin P, sin Q , sin R are in AP, then:

    Text Solution

    |

  18. In DeltaABC if (sinA)/(sinC)=(sin(A-B))/(sin(B-C)), then a^(2), b^(2)...

    Text Solution

    |

  19. Let PQR be a triangle of ! area with a = 2 , b = 7/2 and c = 5/2, wher...

    Text Solution

    |

  20. If R is the radius of the circumcircle of the Delta ABC and Delta is ...

    Text Solution

    |