Home
Class 12
MATHS
If cot ""A/2 =(b+c)/(a),then DeltaABC is...

If `cot ""A/2 =(b+c)/(a),`then `DeltaABC` is

A

isosceles

B

equliteral

C

right angled

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|55 Videos

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos

  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|31 Videos

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

If cot(A/2) = (b+c)/a , then triangleABC , is

In a DeltaABC , if 4 cos A cos B + sin 2A+sin 2B+sin 2C=4 , then DeltaABC is

In a DeltaABC, 2 cos A=(sin B)/(sin C) and 2 ^(tan^(2)B) is a solution of equation x^(2)-9x +8=0, then DeltaABC is

If the sine of the angles of DeltaABC satisfy the equation c^(3)x^(3)-c^(2) (a+b+c)x^(2)+lx +m=0 (where a,b,c are the sides of DeltaABC), then DeltaABC is

DeltaABC has different side lengths a,b,c. If a^(2),b^(2),c^(2) as sides form another DeltaPQR , then DeltaABC will always be

In any Delta ABC , If cot ""A/2 , cot ""B/2 ,cot ""C/2 are in AP, then a,b,c are in (A) A.P, (b)G.P., (c)H.P., (d)NONE OF THESE

In DeltaABC, acos^(2)C/2+ccos^(2)A/2=(3b)/(2) , then prove that the sides of DeltaABC , are in A.P.

In a DeltaABC, bcos^(2)'(A)/(2) + acos^(2)"(B)/(2) = (3)/(2)c , then a, c, b in (with usual notations)

If a,b and c are the position vectors of the vertices A,B and C of the DeltaABC , then the centroid of DeltaABC is

i) In DeltaABC , prove that: (b-a)/(b+a)=tanC/2. tan(B-A)/(2) ii) In DeltaABC , prove that: asin(A/2+B) = (b+c)sinA/2

OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
  1. In a triangle ABC,vertex angles A,B,C and side BC are given .The area ...

    Text Solution

    |

  2. The area of the circle and the area of a regular polygon of n sides an...

    Text Solution

    |

  3. If cot ""A/2 =(b+c)/(a),then DeltaABC is

    Text Solution

    |

  4. In triangleABC, tanA/2=5/6, tanC/2=2/5, then

    Text Solution

    |

  5. In a triange, the line joining the circumcentre to the incentre is par...

    Text Solution

    |

  6. In a triangle ABC,r=

    Text Solution

    |

  7. The exradii r(1), r(2), and r(3) " of " Delta ABC are in H.P. show tha...

    Text Solution

    |

  8. In any triangle A B C , prove that: a^3cos(B-C)+b^3cos(C-A)+c^3cos(A-B...

    Text Solution

    |

  9. If c^(2)=a^(2)+b^(2), 2s = a+b+c, then 4s(s-a)(s-b)(s-c)=

    Text Solution

    |

  10. The sides of a triangle are 13,14,15, then the radius of its in-circle...

    Text Solution

    |

  11. If a cos A =b cos B, then the triangle is

    Text Solution

    |

  12. The in-radius of the triangle whose sides are 3,5,6,is

    Text Solution

    |

  13. In an equliateral triangle of side 2sqrt3 cm. The find circum-radius.

    Text Solution

    |

  14. If the angle opf a triangle are in the ratio 1:2:3, then show that the...

    Text Solution

    |

  15. In any DeltaABC, prod((sin^(2)A+sin A+1)/(sin A)) is always greater th...

    Text Solution

    |

  16. In any DeltaABC, prod((sin^(2)A+sin A+1)/(sin A)) is always greater th...

    Text Solution

    |

  17. In a right angled triangle ABC sin^(2)A+sin^(2)B+sin^(2)C=

    Text Solution

    |

  18. In any DeltaABC, is 2 cos B=a/2, then the triangle is

    Text Solution

    |

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

    Text Solution

    |

  20. In any Delta ABC, If cot ""A/2 , cot ""B/2 ,cot ""C/2 are in AP, t...

    Text Solution

    |