Home
Class 12
MATHS
In any DeltaABC, prove that ((b^(2)-c^(2...

In any `DeltaABC`, prove that `((b^(2)-c^(2)))/a^(2)"sin 2a"+((c^(2)-a^(2)))/b^(2)" sin 2B+"((a^(2)-b^(2)))/c^(2)"sin 2C=0"`

A

0

B

`Sigma cos A`

C

`Sigma sinA`

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 a ABC, prove that: ((b^(2)-c^(2))/(a^(2)))sin2A+((c^(2)-a^(2))/(b^(2)))sin2B+((a^(2)-b^(2))/(c^(2)))sin2C=0

In any ABC ,prove that (b^(2)-c^(2))/(a^(2))sin2A+(c^(2)-a^(2))/(b^(2))sin2B+(a^(2)-b^(2))/(c^(2))sin2C=0

For any triangle ABC,prove that (b^(2)-c^(2))/(a^(2))sin2A+(c^(2)-a^(2))/(b^(2))sin2B+(a^(2)-b^(2))/(c^(2))sin2C=0

In any DeltaABC , prove that a^(2)sin(B-C)=(b^(2)-c^(2))sinA

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

In any DeltaABC , prove that ((b-c))/acosA/2=sin((B-C))/2

In any DeltaABC , prove that (a-b)^(2)cos^(2)""C/2+(a+b)^(2)sin^(2)""C/2=c^(2).

In any Delta ABC, prove that :(b^(2)-c^(2))sin^(2)A+(c^(2)-a^(2))sin^(2)B+(a^(2)-b^(2))sin^(2)C=0

In any DeltaABC , prove that ("sin(A-B)")/("sin(A+B)")=((a^(2)-b^(2)))/c^(2)

In DeltaABC , prove that: (b-c)^(2)cos^(2)A/2+(b+c)^(2)sin^(2)A/2=a^(2)

ML KHANNA-PROPERTIES OF TRIANGLES -Problem Set (2)(MULTIPLE CHOICE QUESTIONS)
  1. Prove that ((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)=sin^2A

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. If the anngle A,B,C of a Delta ABC are in A.P then :-

    Text Solution

    |

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

    Text Solution

    |

  8. In any DeltaABC, prove that (a-b)^(2)cos^(2)""C/2+(a+b)^(2)sin^(2)""C/...

    Text Solution

    |

  9. If cos A+cos B+2cos C=2 then the sides of the A B C are in A.P. (b) G...

    Text Solution

    |

  10. In a triangle ABC with fixed base BC, the vertex A moves such that cos...

    Text Solution

    |

  11. If in a triangle ABC, 2 (cos A)/(a)+(cos B)/(b)+2(cos C)/c=(a)/(bc)+b/...

    Text Solution

    |

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

    Text Solution

    |

  13. In a triangle ABC, 2ac sin((A-B+C)/2) =

    Text Solution

    |

  14. In a A B C , prove that: (b^2-c^2)cotA+(c^2-a^2)cot B+(a^2-b^2)cotC=0

    Text Solution

    |

  15. In any DeltaABC, prove that ((b^(2)-c^(2)))/a^(2)"sin 2a"+((c^(2)-a^(2...

    Text Solution

    |

  16. The sides of a triangle ABC are 6 , 7 , 8 and the smallest angle being...

    Text Solution

    |

  17. The sides of a triangle ABC are 6, 7, 8, the smallest angle being C th...

    Text Solution

    |

  18. The sides of a triangle ABC are 6, 7, 8, the smallest angle being C th...

    Text Solution

    |

  19. In a triangle cot A:cot B:cot C = 30:19:16 " then " a:b:c

    Text Solution

    |

  20. The sids of a triangle aresqrt((b^2+c^2)),sqrt((c^2+a^2)),sqrt((a^2+b^...

    Text Solution

    |