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/3`

B

`pi/4`

C

`pi/6`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (2)(TRUE AND FALSE)|2 Videos
  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (2)(FILL IN THE BLANKS)|3 Videos
  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (1)(FILL IN THE BLANKS)|10 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=

In triangleABC, 2(b-c)cos^(2)((A)/(2))=

ML KHANNA-PROPERTIES OF TRIANGLES -Problem Set (2)(MULTIPLE CHOICE QUESTIONS)
  1. The sides a,b,c of a triangle ABC are the roots of x^3 - 11x^2 +38x - ...

    Text Solution

    |

  2. If x, y gt 0, then prove that the triangle whose sides are given by 3x...

    Text Solution

    |

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

    Text Solution

    |

  4. If the angles A, B, C of the triangle ABC be in A.P., then (a+c)/(sqrt...

    Text Solution

    |

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

    Text Solution

    |

  6. If cos A= (sinB)/(2 sinC), " then " Delta ABC is

    Text Solution

    |

  7. In a triangle ABC, (asinB+bsinA)/(sqrt(sinAsinB))=4, angleC=pi/3 " the...

    Text Solution

    |

  8. In a triangle, the lengths of the two larger sides are 10 and 9, re...

    Text Solution

    |

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

    Text Solution

    |

  10. In a triangle ABC, a^4 +b^4 +c^4 = 2(a^2 +c^2)b^2 then the angle B is

    Text Solution

    |

  11. In a triangle ABC ,a^2 cos^2 A=b^2+c^2, then

    Text Solution

    |

  12. If in a triangle sin^4 A+sin^4 B + sin^4 C = sin^2 B sin^2 C+2 sin^2 C...

    Text Solution

    |

  13. If A=60^@, " then " b/(c+a)+c/(a+b) =

    Text Solution

    |

  14. The sides of a triangle are three consecutive natural numbers and its ...

    Text Solution

    |

  15. If D id the mid-point of the side BC of a triangle ABC and AD is perpe...

    Text Solution

    |

  16. Prove that ((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)=sin^2A

    Text Solution

    |

  17. Let 'l' is the length of median from the vertex A to the side BC of a ...

    Text Solution

    |

  18. If a triangle ABC, D is the mid point of side BC and angleADB =theta "...

    Text Solution

    |

  19. The straight roads intersect at an angle of 60°. A bus on one road is ...

    Text Solution

    |

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

    Text Solution

    |