Home
Class 11
MATHS
With usual notations in a triangle A B C...

With usual notations in a triangle `A B C ,` if `r_1=2r_2=2r_3` then `4a=3b` (b) `3a=2b` `4b=3a` (d) `2a=3b`

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 ABC, of r_(1)= 2r_(2)=3r_(3) Then a:b is equal :-

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

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

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

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)

In an acute angled triangle A B C ,r+r_1=r_2+r_3a n d/_B >pi/3, then (a) b+2c<2a<2b+2c (b) b+4c<4a<2b+4c (c) b+4c<4a<4b+4c (d) b+3c<3a<3b+3c

With usual notation in Delta ABC, the numerical value of ((a+b+c)/(r_(1)+r_(2)+r_(3))) ((a)/(r_(1))+(b)/(r _(2))+ (c)/(r_(3))) is

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 triangle A B C , if cosA+cosB+cosC=7/4, t h e n R/r is equal to 3/4 (b) 4/3 (c) 2/3 (d) 3/2

ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. Show that ((1)/(r (1))+ (1)/(r(2)))((1)/(r(2))+(1)/(r (3)))((1)/(r (3)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. In triangle ABC, CD is the bisector of the angle C. if cos.(C)/(2) = (...

    Text Solution

    |

  13. D , E , F are the foot of the perpendicular from vertices A , B , C to...

    Text Solution

    |

  14. In an isosceles A B C , the altitudes intersect on the inscribed circ...

    Text Solution

    |

  15. In a triangle ABC cos^(2)A/2+cos^(2)B/2+cos^(2)C/2=

    Text Solution

    |

  16. If in a triangle A B C\ p ,\ q ,\ r are the altitudes from the vertice...

    Text Solution

    |

  17. A D ,\ B E\ A N D\ C F are the perpendiculars from the angular points ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |