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

In `DeltaABC, (a^(2)+b^(2))/(a^(2)-b^(2))=(sin(A+B))/(sin(A-B))`, prove that the triangle is isosceles or right triangle.

A

either isosceles or right angled

B

only right angled

C

only isosceles triangle

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|23 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise PROPERTIES AND SOLUTIONS OF TRIANGLES EXERSISE 1: SINGLE OPTION CORRECT TYPE QUESTIONS|1 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos

  • SEQUENCES AND SERIES

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

Similar Questions

Explore conceptually related problems

In DeltaABC, (b^(2)+c^(2))sin(B-C)=(b^(2)-c^(2))sin(B+C) , then prove that the triangle in either isosceles or right angled.

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

If a cosA=b cos B , then prove that either the triangle is isosceles or right triangle.

In any triangle. if(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.

In any triangle. if(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.

In a A B C , if cosC=(sinA)/(2sinB) , prove that the triangle is isosceles.

In any DeltaABC , prove that Delta=(a^(2)-b^(2))/2(sinAsinB)/(sin(A-B)) .

In any triangle ABC, if (cos A + 2 cos C)/(cos A + 2 cos B) = (sin B)/(sin C) then prove that, the triangle is either isosceles or right angled.

If atanA+btanB=(a+b)tan((A+B)/2) prove that triangle ABC is isosceles.

In a triange ABC, if sin(A/2) sin (B/2) sin(C/2) = 1/8 prove that the triangle is equilateral.

ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. In a Delta ABC, angles A, B, C are in AP. If f(x) = underset(A rarr c)...

    Text Solution

    |

  2. In Delta ABC, (a + b+ c) (b + c -a) = kbc if

    Text Solution

    |

  3. In DeltaABC, (a^(2)+b^(2))/(a^(2)-b^(2))=(sin(A+B))/(sin(A-B)), prove ...

    Text Solution

    |

  4. In a DeltaABC, sides a,b,c are inAP and (2)/(1!9!)+(2)/(3!7!)+(1)/(5!5...

    Text Solution

    |

  5. If a, b,c be the sides of a triangle ABC and if roots of equation a(b-...

    Text Solution

    |

  6. The ratio of the area of a regular polygon of n sides inscribed in a c...

    Text Solution

    |

  7. In any triangle ABC sum (sin^2A+sinA+1)/sinA is always greater than or...

    Text Solution

    |

  8. If the incircel of the triangle ABC, through it's circumcentre, then t...

    Text Solution

    |

  9. The perimeter of a triangle ABC is saix times the arithmetic mean of ...

    Text Solution

    |

  10. If there are only two linear functions f and g which map [1,2] on [4,6...

    Text Solution

    |

  11. A circle is inscribed in an equilateral triangle of side adot The area...

    Text Solution

    |

  12. In any triangle ABC, if sin A , sin B, sin C are in AP, then the maxim...

    Text Solution

    |

  13. In a DeltaABC, 2 cos A=(sin B)/(sin C) and 2 ^(tan^(2)B) is a solution...

    Text Solution

    |

  14. A triangle is inscribed in a circle. The vertices of the triangle divi...

    Text Solution

    |

  15. If a,b and c arethe sides of a traiangle such that b.c =lamda ^(2), th...

    Text Solution

    |

  16. In a triangle ABC, AD is the altitude from A. If b gt c. angleC = 23^(...

    Text Solution

    |

  17. In triangle ABC, a=5, b=4 and cos(A+B)=(31)/(32) In this triangle,c=

    Text Solution

    |

  18. In a A B C ,ifA B=x , B C=x+1,/C=pi/3 , then the least integer value ...

    Text Solution

    |

  19. In an equilateral triangle, three coins of radii 1 unit each are kept ...

    Text Solution

    |

  20. The sides of a triangle are in AP. If the angles A and C are the great...

    Text Solution

    |