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Let ABC be a given triangle. Points D an...

Let ABC be a given triangle. Points D and E are on sides AB and AC respectively and point F is on line segment DE. Let `(AD)/(AB)=x, (AE)/(AC)=y, (DF)/(DE)=z`. Let area of `DeltaBDF=Delta_(1)`, Area of `DeltaCEF=Delta_(2) ` and area of `DeltaABC=Delta`.
Q. `(Delta_(2))/(Delta)` is equal to :

A

`(1-x)y(1-z)`

B

`(1-x)(1-y)z`

C

`x(1-y)(1-z)`

D

`(1-x)yz`

Text Solution

Verified by Experts

The correct Answer is:
C
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