Home
Class 11
MATHS
In a triangle A B C ,\ If (a^3+b^3+c^3)...

In a triangle `A B C ,\ ` If `(a^3+b^3+c^3)/(sin^3A+sin^3B+sin^3C)=343 ,` the diameter of the circle circumscribing the triangle is (a)7 units (b) 14 units (c)21 units (d) none of these

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

The area of the triangle formed by the line x=3,\ \ y=4 and x=y is (a) 1/2 sq. unit \ (b) 1 sq. unit (c) 2 sq. unit (d) None of these

In a triangle ABC , if cos A cos B + sin A sin B sin C = 1 , then a:b:c is equal to

In any triangle A B C , prove that: \ a^3sin(B-C)+b^3sin(C-A)+c^3sin(A-B)=0

The area of the triangle having vertices P(1,2,3),Q(4,0,4),R(-2,4,2) is (A) 5 units (B) 10 units (C) 4 units (D) none of these

In a triangle ABC, a ge b ge c. If (a^(3)+b^(3)+c^(3))/(sin ^(3)A +sin ^(3) B+sin ^(3)C)=8, then the maximum value of a sin^(3) A+sin ^(3) B+ sin^(3)C

In a triangle ABC, if (sqrt3-1)a = 2b, A = 3B , then /_C is

If the graph of the equation 4x+3y=12 cuts the coordinate axes at A\ a n d\ B , then hypotenuse of right triangle A O B length is ? (a) 4 units (b) 3 units (c) 5 units (d) none of these

In DeltaABC, tanA=2, tanB=(3)/(2) and c=sqrt(65) , then circumradius of the triangle is : (a) 65 (b) (65)/(7) (c) (65)/(14) (d) none of these

If area of a circle inscribed in an equilateral triangle is 48pi square units, then perimeter of the triangle is (a) 17sqrt(3) units (b) 36 units (c) 72 units (d) 48sqrt(3) units

In a Delta A B C ,\ if\ a=2,\ b=3\ a n d\ sin A=2/3 then find /_B

ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. If p1, p2, p3, be the altitudes of a triangle ABC from the 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. In a triangle A B C ,\ If (a^3+b^3+c^3)/(sin^3A+sin^3B+sin^3C)=343 , ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. 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

    |