Question:
In \(\triangle ABC\), points \(X\) on \(AB\) and \(Y\) on \(AC\) satisfy \(XY\parallel BC\). If \(AX:XB=2:3\), then \(AY:YC=\) ?
In \(\triangle ABC\), points \(X\) on \(AB\) and \(Y\) on \(AC\) satisfy \(XY\parallel BC\). If \(AX:XB=2:3\), then \(AY:YC=\) ?
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When a segment is parallel to a triangle’s side, it divides the other two sides proportionally.
Updated On: Oct 27, 2025
- \(3:2\)
- \(2:3\)
- \(1:3\)
- \(3:1\)
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The Correct Option is B
Solution and Explanation
By Basic Proportionality Theorem, \(\dfrac{AX}{XB}=\dfrac{AY}{YC}\). Hence \(AY:YC=2:3\).
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