Question

In \(\triangle ABC\), points \(X\) on \(AB\) and \(Y\) on \(AC\) satisfy \(XY\parallel BC\). If \(AX:XB=2:3\), then \(AY:YC=\) ?

• A. \(3:2\)
• B. \(2:3\)
• C. \(1:3\)
• D. \(3:1\)

Hint:

When a segment is parallel to a triangle’s side, it divides the other two sides proportionally.

Answer 1

The Correct Option is B

By Basic Proportionality Theorem, \(\dfrac{AX}{XB}=\dfrac{AY}{YC}\). Hence \(AY:YC=2:3\).