Home
Class 11
MATHS
If a/(sinA)=K , then the area of "DeltaA...

If `a/(sinA)=K ,` then the area of `"DeltaA B C"` in terms of `K` and sines of the angles is `(K^2)/4s in A\ s in B\ s in C` (b) `(K^2)/2s in A\ s in B\ s in C` `2K^2s in A\ s in B\ "sin"(A+B)` (d) none

Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (S-1)|44 Videos
  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise Do yourself -6|4 Videos

Similar Questions

Explore conceptually related problems

Prove that: (sin(A-B))/(s in As in B)+(sin(B-C))/(s in Bs in C)+(sin(C-A))/(s in Cs in A)=0

If A is the area and 2s is the sum of the sides of a triangle,then A<=(s^(2))/(4) (b) A<=(s^(2))/(3sqrt(3))2R sin A sin B sin C( d) none of these

In any triangle ABC, prove that following: a(s in B-s in C)+b(s in C-s in A)+c(s in A-s in B)=0

If A=sqrt((s-a)(s-b)(s-c)) , then express c in terms of A,s,a and b.

In any triangle ABC, prove that following: (a^(2)sin(B-C))/(s in A)+(b^(2)sin(C-A))/(s in B)+(c^(2)sin(A-B))/(s in C)=0

Prove that: (s in A+s in B)/(s in A-s in B)=tan((A+B)/(2))cot((A-B)/(2))

In DeltaABC , Prove that (s-a) tan (A/2)=(s-b) tan (B/2)=(s-c) tan (C/2)

In a scalene triangle A B C ,D is a point on the side A B such that C D^2=A D D B , sin s in A S in B=sin^2C/2 then prove that CD is internal bisector of /_Cdot

ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. If p1,\ p2,\ p3 are the altitudes of a triangle from its vertices A ,\...

    Text Solution

    |

  2. If in a triangle A B C angle B=90^0 then tan^2(A/2) is (b-c)/a (b) (b-...

    Text Solution

    |

  3. If a/(sinA)=K , then the area of "DeltaA B C" in terms of K and sines ...

    Text Solution

    |

  4. In a "DeltaA B C","\ "/"C"=60"\ "&\ /A=75. If D is a point on A C such...

    Text Solution

    |

  5. In a DeltaABC, a semicircle is inscribed, whose diameter lies on the s...

    Text Solution

    |

  6. In a triangle A B C , right angled at B , the inradius is (A B+B C-A C...

    Text Solution

    |

  7. In an equilateral triangle, inradius r , circumradius R and ex-radius ...

    Text Solution

    |

  8. In a triangle A B C ,(r1+r2)/(1+cosC) is equal to (2a b)/(c"Delta") (b...

    Text Solution

    |

  9. With usual notations in a triangle A B C , if r1=2r2=2r3 then 4a=3b (b...

    Text Solution

    |

  10. a, b, x are in A.P., a,b,y are in G.P. and a, b, z are in H.P. then:

    Text Solution

    |

  11. In A B C , if r\ : r1: R=2\ : 12\ :5, where all symbols have their us...

    Text Solution

    |

  12. If a , b ,\ A are given in a triangle and c1a n d\ c2 are two possible...

    Text Solution

    |

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

    Text Solution

    |

  14. In a triangle A B C ,\ C D is the bisector of the angle Cdot If cosC/2...

    Text Solution

    |

  15. The medians of a A B C are in 9c m ,\ 12 c m\ a n d\ 15 c m respectiv...

    Text Solution

    |

  16. If ' O ' is the circum centre of the A B C and R1,\ R2,\ R3 are the r...

    Text Solution

    |

  17. Two rays emanate from the point A and form an angle of 43 with one a...

    Text Solution

    |

  18. In a A B C ,\ A=pi/3\ a n d\ b : c=2: 3. If tanalpha=(sqrt(3))/5,\ o<...

    Text Solution

    |

  19. The value of (cosA)/(P1)+(cosB)/(P2)+(cosC)/(P3) is

    Text Solution

    |

  20. Statement - I : The statement that circumradius and inradius of a t...

    Text Solution

    |