Home
Class 11
MATHS
In a triangle A B C ,\ (r1-r)(r2-r)(r3-r...

In a triangle `A B C ,\ (r_1-r)(r_2-r)(r_3-r)` is equal to `4R r^2` (b) `(4a b cdot)/((a+b+c)^2)` `16 R^3(cos A+cos B+cos C-1)` `r^3cose c A/2cose c B/2cose c C/2`

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

In a triangle ABC , if r_(1) =2r_(2) =3r_(3) , then a:b:c =

In triangle A B C , if r_1=2r_2=3r_3, then a : b is equal to 5/4 (b) 4/5 (c) 7/4 (d) 4/7

The value of (b-c)/r_1+ (c-a)/r_2+ (a-b)/r_3 is equal to

In a triangle A B C ,(r_1+r_2)/(1+cosC) is equal to (2a b)/(c"Delta") (b) ((a+b))/(c"Delta") (a b c)/(2"Delta") (d) (a b c)/("Delta"^2)

In a triangle ABC prove that a(rr_1+r_2r_3)=b(rr_2+r_3r_1)=c(rr_3+r_1r_2)=abc

In a triangle , if r_(1) = 2r_(2) = 3r_(3) , then a/b + b/c + c/a is equal to

In any triangle, the minimum value of r_1r_2r_3//r^3 is equal to (a) 1 (b) 9 (c) 27 (d) none of these

Show that, 4 R r cos ""A/2cos ""B/2 cos ""C/2 =Delta

In a DeltaABC if r_(1):r_(2):r_(3)=2:4:6, then a:b:c =

With usual notations, in triangle A B C ,acos(B-C)+bcos(C-A)+c"cos"(A-B) is equal to(a) (a b c)/R^2 (b) (a b c)/(4R^2) (c) (4a b c)/(R^2) (d) (a b c)/(2R^2)

ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. A D ,\ B E\ A N D\ C F are the perpendiculars from the angular points ...

    Text Solution

    |

  2. O is the circumcenter of A B Ca n dR1, R2, R3 are respectively, the r...

    Text Solution

    |

  3. In a triangle A B C ,\ (r1-r)(r2-r)(r3-r) is equal to 4R r^2 (b) (4a b...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. In A B C , on the side B C ,D and E are two points such that B D=D E=...

    Text Solution

    |

  7. In a A B C ,\ A D is the bisector of the angle A meeting B C at Ddot ...

    Text Solution

    |

  8. If p1, p2, p3, be the altitudes of a triangle ABC from the vertices A,...

    Text Solution

    |

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

    Text Solution

    |

  10. The minimum value of (b^2p1)/c+(c^2p2)/a+(a^2p3)/b\ is

    Text Solution

    |

  11. Find the value of a if the value of 2x^2+3x-a is equal to 6 when x=-2.

    Text Solution

    |

  12. Statement - I : If two sides of a triangle are 4 and 5, then its ar...

    Text Solution

    |

  13. Statement I perimeter of a regular pentagon inscribed in a circle with...

    Text Solution

    |

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

    Text Solution

    |

  15. Statement - I : In any triangle A B C , the minimum values of (r1+r2+r...

    Text Solution

    |

  16. Statement - I : Area of triangle having sides greater than 9 can be ...

    Text Solution

    |

  17. Let An be the area that is outside a n-sided regular polygon and insid...

    Text Solution

    |

  18. If n=4\ then Bn is equal to : R^2((4-pi))/2 (b) (R^2(4-pisqrt(2)))/2 ...

    Text Solution

    |

  19. (An)/(Bn) is equal to (theta=pi/n) (2theta-sin2theta)/(sin2theta-thet...

    Text Solution

    |

  20. Prove that : 4\ R\ sin AsinB\ sin C=acosA+b\ cos B+c cosCdot

    Text Solution

    |