In a $\triangle A B C$, points $X$ and $Y$ are on $A B$ and $A C$, respectively, such that $X Y$ is parallel to $B C$. Which of the two following equalities always hold? (Here $[P Q R]$ denotes the area of $\triangle P Q R)$.
$I$. $[B C X]=[B C Y]$
$II$. $[A C X] \cdot[A B Y]=[A X Y] \cdot[A B C]$
In a $\triangle A B C$, points $X$ and $Y$ are on $A B$ and $A C$, respectively, such that $X Y$ is parallel to $B C$. Which of the two following equalities always hold? (Here $[P Q R]$ denotes the area of $\triangle P Q R)$.
$I$. $[B C X]=[B C Y]$
$II$. $[A C X] \cdot[A B Y]=[A X Y] \cdot[A B C]$
- [KVPY 2015]
- A
Neither $I$ nor $II$
- B
Only $I$
- C
Only $II$
- D
Both $I$ and $II$
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