Home
Class 12
MATHS
Let 'l' is the length of median from the...

Let 'l' is the length of median from the vertex A to the side BC of a `Delta ABC`. Then

A

`4l^2=b^2 4 ac cos B`

B

`4l^2 = a^2 +4 bc cos A`

C

`4l^2= c^2+4ab cos C`

D

`4l^2 = b^2 2c^2-2a^2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL II)|6 Videos
  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 3|33 Videos
  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE -1|36 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

Two sides of a triangle are to have lengths 'a'cm & 'b'cm.If the triangle is to have the maximum area,then the length of the median from the vertex containing the sides 'a' and 'b'is

Let ABC be a triangle with AB = 3 cm, AC = 5 cm. If AD is a median drawn from the vertex A to the side BC, then which one of the following is correct ?

Let O be the in-centre of a triangle ABC and D be a point on the side BC of Delta ABC , such that OD_|_BC If angle BOD=15^(@) , then angle ABC=?

Let the lengths of the altitudes drawn from the vertices of Delta ABC to the opposite sides are 2, 2 and 3. If the area of Delta ABC " is " Delta , then find the area of triangle

ABC is a triangle right angled at B. If AB=5 cm and BC= 10 cm, then what is the length of the perpendicular drawn from the vertex B to the hypotenuse ?

The slope of a median, drawn from the vertex A of the triangle ABC is -2. The co-ordinates of vertices B and C are respectively (-1, 3) and (3, 5). If the area of the triangle be 5 square units, then possible distance of vertex A from the origin is/are.

MOTION-SOLUTION OF TRIANGLE-EXERCISE - 2 (LEVEL I)
  1. In a DeltaABC, If A=30^@,b=2,c=sqrt3+1, then (C-B)/2 is

    Text Solution

    |

  2. cot (A+B)/2.tan(A-B)/2= (a) (a+b)/(a-b) (b) (a-b)/(a+b)

    Text Solution

    |

  3. In any triangle ABC,1-tan(A/2)tan(B/2)=

    Text Solution

    |

  4. In a triangleABC, if 3tan (A/2) tan (C /2)=1, then sides a,b,c are in

    Text Solution

    |

  5. If, in Delta ABC, a = 16, b = 24, c = 20, then : sin (A/2)= ....

    Text Solution

    |

  6. In triangleABC, (b+a-c)tan((A)/(2))=

    Text Solution

    |

  7. If, in Delta ABC, a = 2x, b = 2y and C = 120^(@) then the area of the ...

    Text Solution

    |

  8. If the median AD of triangle ABC divides the angle BAC in the ratio 1:...

    Text Solution

    |

  9. In a triangle ABC , let angleC=(pi)/2. If r is the in-radius and R is ...

    Text Solution

    |

  10. In an isosceles triangle with base angle alpha and lateral side 4, Rr=

    Text Solution

    |

  11. If I is the incentre of a triangle whose is radius and circumradius ar...

    Text Solution

    |

  12. AD, BE and CF are the medians of triangle ABC whose centroid is G. If ...

    Text Solution

    |

  13. Let 'l' is the length of median from the vertex A to the side BC of a ...

    Text Solution

    |

  14. If in a /\ ABC the altitude from the vertices A,B,C on opposite side a...

    Text Solution

    |

  15. If the radius of the circum-circle of an isosceles triangle PQR is equ...

    Text Solution

    |

  16. In a triangle ABC, if a=2,b=4,c=5 then cosA=

    Text Solution

    |

  17. If in a triangle ABC a,b,c are roots of the equation x^3 - 11 x^2 + 38...

    Text Solution

    |

  18. In a triangle A+B+C=90 then prove that cotA+cotB+cotC=cotAcotBcotC

    Text Solution

    |

  19. If cos A=(sinB)/(2 sin C), then triangleABC is

    Text Solution

    |

  20. Let A, B and C are the angles of a plain triangle and tan(A/2)=1/3...

    Text Solution

    |