Home
Class 11
MATHS
If lambda be the perimeter of the DeltaA...

If `lambda` be the perimeter of the `Delta`ABC. then `bcos^2(c/2)+c cos^2(B/2)`is equal to

A

`lambda`

B

`2lambda`

C

`lambda/2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PATHFINDER|Exercise QUESTION BANK|56 Videos

  • STATISTICS

    PATHFINDER|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

If ina triangle ABC, b+c=3a, then cot(B/2)cot (C/2) is equal to

In Delta ABC, "cot"(A)/(2) + "cot" (B)/(2) + "cot" (C)/(2) is equal to

If the area of a triangle ABC is given by Delta=a^2-(b-c)^2 then tan(A/2) is equal to

In triangle A B C ,2a csin(1/2(A-B+C)) is equal to

Show that the perimeter of any triangle is equal to 2 "cos" (A)/(2)"cos" (B)/(2)"sec" (A+B)/(2)

If Delta =a^(2) -(b-c) ^(2), where Delta is the area of the triangle ABC, then tan A is equal to-

Find the value of tan A, if area of Delta ABC is a^(2) -(b-c)^(2).

If P is a point on the altitude AD of the triangle ABC such the /_C B P=B/3, then AP is equal to 2asinC/3 (b) 2bsinC/3 (c) 2csinB/3 (d) 2csinC/3

If a, b, c are the sides of the triangle ABC such that a^(4) +b^(4) +c^(4)=2x^(2) (a^(2)+b^(2)), then the angle opposite to the side c is-

PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. In a triangle ABC, (a+b+c)(b+c-a)=kbc if

    Text Solution

    |

  2. If cosA/a=cosB/b=cosC/cand the side a=2, then area of triangle is

    Text Solution

    |

  3. If lambda be the perimeter of the DeltaABC. then bcos^2(c/2)+c cos^2(B...

    Text Solution

    |

  4. If the area of a triangle ABC is given by Delta=a^2-(b-c)^2then tan(A...

    Text Solution

    |

  5. If in a DeltaABC, cosA+2cosB+cosC=2,then a,b,c are in

    Text Solution

    |

  6. If D is the mid point of side BC of a triangle ABCand AD is perpendicu...

    Text Solution

    |

  7. If f,g,h are the internal bisectors of a DeltaABC then 1/fcos(A/2)+1/...

    Text Solution

    |

  8. If a,b,c,d be the sides of a quadrilateral and g(x)=f[f{f(x)}], where ...

    Text Solution

    |

  9. In aDeltaABC,sinA/sinC=sin(A-B)/sin(B-C)then

    Text Solution

    |

  10. Let a,b,c be the sides of triangle whose perimeter is p and area is A,...

    Text Solution

    |

  11. If in a DeltaABC, CD is the angle bisector of the angleABC, then CD is...

    Text Solution

    |

  12. If A, A1,A2,A3 are the areas of the inscribed and escribed circles of ...

    Text Solution

    |

  13. If A+B =pi/3 and cosA+cosB=1, then which of the following is/are true

    Text Solution

    |

  14. When any two sides and one of the opposite acute are given, under cert...

    Text Solution

    |

  15. When any two sides and one of the opposite acute are given, under cert...

    Text Solution

    |

  16. If p1,p2,p3 are altitudes of a triangle ABC from the vertices A,B,C re...

    Text Solution

    |

  17. If p1,p2,p3 are altitudes of a triangle ABC from the vertices A,B,C re...

    Text Solution

    |

  18. Match List - I with List-II

    Text Solution

    |

  19. Match List - I with List-II

    Text Solution

    |

  20. In a Delta, (a+b+c)(b+c-a)=lambdabc, whenlambda inI, then greatest va...

    Text Solution

    |