Home
Class 12
MATHS
If in a DeltaABC, (a^(2)-b^(2))/(a ^(2)+...

If in a `DeltaABC, (a^(2)-b^(2))/(a ^(2)+b^(2))=(sin (A-B))/(sin (A+B)),` then the triangle is

A

Right angled or isosceles

B

Right angled and isosceles

C

Equiliateral

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 2|19 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 3|33 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC,(b^(2)+c^(2))/(b^(2)-c^(2))=(sin(B+C))/(sin(B-C)) then the triangle is

In any triangle.i(a^(2)-b^(2))/(a^(2)+b^(2))=(sin(A-B))/(sin(A+B)), then prove that the triangle is either right angled or isosceles.

If in a hat harr ABC,(a^(2)-b^(2))/(a^(2)+b^(2))=(sin(A-B))/(sin(A+B)), prove that it is either a right angled or an isosceles triangle.

In the triangle ABC, if (a^(2)+b^(2)) sin (A-B)=(a^(2) -b^(2)) sin (A+B), then the triangle is

In any Delta ABC, prove that :(b^(2)-c^(2))/(a^(2))=(sin(B-C))/(sin(B+C))

In a Delta ABC, ((a^(2)-b^(2))sinAsinB)/(2sin(A-B))=

In any ABC, prove that: Delta=(a^(2)-b^(2))/(2)(sin A sin B)/(sin(A-B))

In a Delta ABC if a^(2)sin(B-C)+b^(2)sin(C-A)+c^(2)sin(A-B)=0, then triangle is

In a DeltaABC , If (Sin^(2)A+Sin^(2)B+Sin^(2)C)/(Cos^(2)A+Cos^(2)B+Cos^(2)C)=2 then the triangle is

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise For Sesssion 1
  1. In the given figure,if AB= AC, angle BAD=30^(@)and AE=AD, then x is eq...

    Text Solution

    |

  2. In DeltaABC, a=4, b =12 and B=60^(@), thn the vlaue of sin A is

    Text Solution

    |

  3. Let ABC be a triangle such that angle A =45^(@) , angle B =75^(@), the...

    Text Solution

    |

  4. Angles A,B and C of a DeltaABC are in AP. If b/c =(sqrt3)/(sqrt2), the...

    Text Solution

    |

  5. If cot ""A/2 =(b+c)/(a),then DeltaABC is

    Text Solution

    |

  6. If in a DeltaABC, (a^(2)-b^(2))/(a ^(2)+b^(2))=(sin (A-B))/(sin (A+B))...

    Text Solution

    |

  7. In any triangle A B C , prove that: (a^2sin(B-C))/(sinB+s in C)+(b^2si...

    Text Solution

    |

  8. In any DeltaABC, is 2 cos B=a/c, then the triangle is

    Text Solution

    |

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

    Text Solution

    |

  10. If a cos A =b cos B, then the triangle is

    Text Solution

    |

  11. In a Delta ABC, (a+b+c) (b+c-a) = gamma bc if

    Text Solution

    |

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

    Text Solution

    |

  13. In DeltaABC, if sin^2 A+ sin^2 B = sin^2 C, then the triangle is

    Text Solution

    |

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

    Text Solution

    |

  15. In any triangle, (1+ cos (A-B)cos C)/(1+cos (A-C)cos B)=

    Text Solution

    |

  16. The sides a, b, c of a triangle ABC are in arithmetic progression and ...

    Text Solution

    |

  17. In a DeltaABC, a ^(2) cos 2B+b^(2) cos 2A+2ab cos (A-B)=

    Text Solution

    |

  18. In any DeltaABC, 2 [bc cos A + ca cos B+ ab cos C]=

    Text Solution

    |

  19. In a DeltaABC, tan ""1/2 (A+B) . Cot""1/2(A-B) is equal to

    Text Solution

    |

  20. If in a Delta ABC, b =sqrt3, c=1 and B-C =90^(@), then angle A is

    Text Solution

    |