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

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ALLEN|Exercise All Questions|1 Videos
  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise Do yourself -6|4 Videos

Similar Questions

Explore conceptually related problems

Prove that sin2A + sin2B + sin2C = 4sinA · sinB · sin C

Prove that (sin (A - B))/( sin A sin B ) + ( sin (B -C))/( sin B sin C ) + (sin (C - A))/( sin C sin A) =0

(sin2A+sin2B+sin2C)/(sinA+sinB +sinC) is equal to

If in a triangle ABC ,a sin A=b sin B, then the triangle, is

If A+B+C=pi , show that : 1/2 sum sin^2 A (sin 2B+sin 2C) = 3 sin A sin B sin C .

If A + B + C = 180^@ , then prove that sin 2 A+ sin 2B + sin 2C = 4 sin A sin B sin C

In a Delta ABC, show that 2R^(2) sin A sin B sin C=Delta.

If A+B+C= pi/2 , show that : sin^2 A + sin^2 B + sin^2 C=1-2 sinA sinB sinC

Prove that: ("sin"(A-B))/(sin A sin B)+("sin"(B-C))/(sin B sin C)+("sin"(C-A))/(sin C sin A)=0

If in a triangle ABC, 3 sin A = 6 sin B=2sqrt3sin C , then the angle A is

ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. In a triangle A B C ,\ If (a^3+b^3+c^3)/(sin^3A+sin^3B+sin^3C)=343 , ...

    Text Solution

    |

  2. In a Delta ABC if b+c = 3a then cot. (B)/(2). cot. (C )/(2) has the va...

    Text Solution

    |

  3. If a/(sinA)=K , then the area of "Triangle ABC" in terms of K and sine...

    Text Solution

    |

  4. In a triangle A B C ,/c=60^0a n d/A=75^0 . If D is a point on A C such...

    Text Solution

    |

  5. In a ΔABC, a semicircle is inscribed, whose diameter lies on the side ...

    Text Solution

    |

  6. In a triangle A B C , right angled at B , then r=(A B+B C-A C)/2 b. r=...

    Text Solution

    |

  7. In triangle A B C where A ,\ B ,\ C are acute, the distances of the or...

    Text Solution

    |

  8. In a Delta ABC, show that (a cos A+b cos B+ c cos C)/(a+b+c)= (r )/(R...

    Text Solution

    |

  9. In an equilateral triangle, the inradius, circumradius, and one of the...

    Text Solution

    |

  10. Show that ((1)/(r (1))+ (1)/(r(2)))((1)/(r(2))+(1)/(r (3)))((1)/(r (3)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. If r1,\ r2a n d\ r3 be the radii of excircles of the triangle A B C , ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If a,b A be given in a triangl and c(1) and c(2) two possible values o...

    Text Solution

    |

  17. If A , B , C are angles of a triangle which of the following will not ...

    Text Solution

    |

  18. In a A B C , S/R is equal to s in A+s in B+s in C (b) 4cosA/2cosB/2co...

    Text Solution

    |

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

    Text Solution

    |

  20. The line x/6+y/8=1 cuts the co-ordinate axis at A\ &\ B . If O is orig...

    Text Solution

    |