Home
Class 12
MATHS
If (a^(2)+b^(2))/(a^(2)-b^(2))=(sinC)/(s...

If `(a^(2)+b^(2))/(a^(2)-b^(2))=(sinC)/(sin(A-B))` , then S.T . `DeltaABC` is either isoceles or right angled triangle .

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    SRISIRI PUBLICATION|Exercise LAQ|20 Videos

  • PRODUCT OF VECTORS

    SRISIRI PUBLICATION|Exercise SPQ|15 Videos

  • QUESTION PAPER

    SRISIRI PUBLICATION|Exercise SECTION - C|36 Videos

Similar Questions

Explore conceptually related problems

If ( a^(2) + b^(2))/( a^(2) - b^(2)) = ( sin C)/( sin (A- B)) then triangle ABC is

In DeltaABC=(b^(2)+c^(2))/(b^(2)-c^(2))=(Sin(B+C))/(Sin(B-C)) then the triangle is

In a triangle ABC if (a^(2) + b^(2))/(a^(2) - b^(2)) sin (A - B) = 1 and the triangle is not right angled, then cos (A - B) =

In DeltaABC show that (b^(2)-c^(2))/(a^(2))=(sin(B-C))/(sin(B+C))

In a DeltaABC " if " a cosA=bcosB the prove that triangle is either isosceles or right angled .

In a DeltaABC" show that "(b^(2)-c^(2))/(a^(2))=(sin(B-C))/(sin(B+C))

In a /_\ABC if a^(2)+b^(2)+c^(2)=8R^(2) then show that /_\ABC is a right angled triangle.

SRISIRI PUBLICATION-PROPERTIES OF TRIANGLES-LAQ ,SAQ,VSAQ (2DHARDQ) (3DMIS.Q)
  1. If (a^(2)+b^(2))/(a^(2)-b^(2))=(sinC)/(sin(A-B)) , then S.T . DeltaAB...

    Text Solution

    |

  2. In a /\ABC if a^(2)+b^(2)+c^(2)=8R^(2) then show that/\ABC is a right ...

    Text Solution

    |

  3. In DeltaABC" show that "suma^(3)cos(B-C)=3abc

    Text Solution

    |

  4. In DeltaABC" prove that "cos^(2).(A)/(2)+cos^(2).(B)/(2)+cos^(2).(C)/...

    Text Solution

    |

  5. If P(1),P(2),P(3) are the altitudes of the DeltaABC then , show that ...

    Text Solution

    |

  6. In DeltaABC" prove that "(b-c)^(2)cos^(2).(A)/(2)+(b+c)^(2)sin^(2).(A)...

    Text Solution

    |

  7. Show that (c-bcosA)/(b-c"cos"A)=(cosB)/(cosC)

    Text Solution

    |

  8. If b +c =3a , then find the value of cot.(B)/(2)cot.(C)/(2)

    Text Solution

    |

  9. Show that 2("bc"cosA+"ca"cosB+"ab"cosC)=a^(2)+b^(2)+c^(2).

    Text Solution

    |

  10. Prove that a(bcosC-c"cos"B)=b^(2)-c^(2)

    Text Solution

    |

  11. If a=26,b-30,cosC=63//65 , then find c

    Text Solution

    |

  12. If tan.(A)/(2)=(5)/(6)andtan.(C)/(2)=(2)/(5) then determine the relati...

    Text Solution

    |

  13. Prove that (a^(2)+b^(2)-c^(2))/(c^(2)+a^(2)-b^(2))=(tanB)/(tanC)

    Text Solution

    |

  14. What is the value of r/R in an equilateral triangle .

    Text Solution

    |

  15. If rr(2)=r(1)r(3)then find B.

    Text Solution

    |

  16. Express sumr(1)cot.(A)/(2) interms of s .

    Text Solution

    |

  17. Show that rr(1)cot.(A)/(2)=Delta.

    Text Solution

    |

  18. In DeltaABC , show that the sides a, b, c are in A.P ., if and only if...

    Text Solution

    |

  19. If the lengths of the sides of a triangle are 3 , 4,5 find the circumr...

    Text Solution

    |

  20. If the sides of a triangle are 13,14,15 , then find circum diameter .

    Text Solution

    |