Home
Class 14
MATHS
In a triangle ABC, D, E and F are the mi...

In a triangle ABC, D, E and F are the mid-points of the sides BC, CA and AB, respectively. BE and DF intersect at X. DE and CF intersect at Y. Find `XY = ?`
A)`(1)/(2) BC`
B)`(1)/(4) BC`
C)`(1)/(3) BC`
D)`(2)/(3) BC`

A

`(1)/(2) BC`

B

`(1)/(4) BC`

C

`(1)/(3) BC`

D

`(2)/(3) BC`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

In a triangle ABC,D and E are the mid- points of BC,CA respectively.If AD=5,BC=BE=4, then CA=

In the adjoining figure D, E and F are the mid-points of the sides BC, AC and AB respectively. triangle DEF is congruent to triangle :

Knowledge Check

  • In a triangle ABC, D, E, F are the mid-points of the sides BC, CA and AB respectively , the vector vecAD is equal to

    A
    `vecBE + vecCF`
    B
    `vecBE - vecCF`
    C
    `vecCF - vecBE`
    D
    `-vecBE - vecCF`

  • In a Delta ABC, D, E, F are the mid -points of the sides BC, CA and AB respectively, the vector AD is equal to

    A
    `vec(BE) + vec(C F)`
    B
    `vec(BE ) - vec(CF)`
    C
    `vec(CF) -vec(BE)`
    D
    `-vec(BE)- vec(CF)`

  • Let D, E and F be the middle points of the sides BC,CA and AB respectively of a triangle ABC. Then, AD + BE + CF equals to

    A
    0
    B
    0
    C
    2
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    In a triangle ABC, D, E, F are the mid-points of sides BC, CA and AB respectively. Then vecAD + (2)/(3)vecBE + (1)/(3)vecCF = ......

    If D,E and F be the middle points of the sides BC,CA and AB of the Delta ABC, then AD+BE+CF is

    ABC is a triangle and D, E, F are the mid-points of the sides BC, CA, AB respectively. The ratio of the areas of Delta ABC and DeltaDEF is :

    Area of triangle ABC=30cm^2 . D and E are the mid-points of BC and AB respectively. Find A ( triangle BDE )

    ABC is a triangle and D,E,F are the mid-points of the sides BC,CA, AB respectively . The ratio of the areas of DeltaABC and DeltaDEF is :

    Home
    Profile