Home
Class 12
MATHS
If, in a triangleABC, (a+b+c)(b+c-a)=kbc...

If, in a `triangleABC, (a+b+c)(b+c-a)=kbc`, then k lies in the interval

A

`k lt 0`

B

`k gt 6`

C

`0 lt k lt 4`

D

`k gt 4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL I)|25 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL II)|6 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos

  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos

Similar Questions

Explore conceptually related problems

If in a triangle ABC,(a+b+c)(b+c-a)=k.bc, then :k 6c.0 4

In triangleABC, a^(2)sin(B-C)=

In Delta ABC, (a + b+ c) (b + c -a) = kbc if

In triangle ABC if b=2,C=sqrt(3),/_A=30^(@) ,then a lies in the interval

If, in triangleABC, B=3C , then: (b-c)/(2c)=

In triangleABC, (a+b-c)tan((C)/(2))=

If, in triangleABC,a=4, b=5, c=6 , then angleC=

If, in triangleABC , a=18, b=24, c=30, then: sin A=……..

MOTION-SOLUTION OF TRIANGLE-EXERCISE -1
  1. In triangle ABC, (b-c)sin A+(c-a) sin B+( a-b) sin C=

    Text Solution

    |

  2. In a Delta ABC, the value of (a cosA+b cosB+c cosC)/(a+b+c) is equal t...

    Text Solution

    |

  3. If, in a triangleABC, (a+b+c)(b+c-a)=kbc, then k lies in the interval

    Text Solution

    |

  4. In any DeltaABC, 2 (bc cos A + ca cos B + ab cos C) =

    Text Solution

    |

  5. In a A B C if b=2,c=sqrt(3) and /A=pi/6 , then value of R is equal to

    Text Solution

    |

  6. The distance between the middle point of BC and the foot of the perpen...

    Text Solution

    |

  7. In DeltaABC, if AB=5cm, BC=13cm and CA=12cm, then the distance to vert...

    Text Solution

    |

  8. In triangle ABC , prove that (b+c)cos A +(c+a)cos B +(a+b)cos C=a+b+c.

    Text Solution

    |

  9. (b-c)/acos^2 (A/2)+(c-a)/bcos^2(B/2)+(a-b)/c cos^2(C/2)=

    Text Solution

    |

  10. Prove that bc cos^(2).(A)/(2) + ca cos^(2).(B)/(2) + ab cos^(2).(C)/(2...

    Text Solution

    |

  11. In a triangleABC, [tan(A/2) tan(C/2)] is equal to

    Text Solution

    |

  12. In A B C , the median A D divides /B A C such that /B A D :/C A D=2:1...

    Text Solution

    |

  13. If the median AD of triangle ABC makes an angle pi/4 with the side BC,...

    Text Solution

    |

  14. In a DeltaABC, A=(2pi)/3, b-c=3sqrt3 cm and area(DeltaABC)=(9sqrt3)/2 ...

    Text Solution

    |

  15. If the area of triangleABC is triangle =a^(2) -(b-c)^(2), then: tanA =

    Text Solution

    |

  16. If the sides of a triangles are 3:7:8, then ratio R:r

    Text Solution

    |

  17. In a right angled triangle R is equal to

    Text Solution

    |

  18. In a triangle a = 13 , b = 14, c = 15, r =

    Text Solution

    |

  19. In an equilateral triangle, the inradius and the circumradius are conn...

    Text Solution

    |

  20. In a triangle ABC, right angled at B, then

    Text Solution

    |