In ∆ABC, PQ is parallel to BC. If AP : PB = 1 : 2

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In ∆ABC, PQ is parallel to BC. If AP : PB = 1 : 2 and AQ = 3 cm; AC is equal to

1. 6 cm
2. 9 cm
3. 12 cm
4. 8 cm

Correct Option: B

Firstly , We draw a figure of triangle ABC ,

Here , AP : PB = 1 : 2

	AP	=	AQ	=	1
	PB		QC		2

⇒	QC	=	2	⇒	QC + AQ	=	3
	AQ		1		AQ		1

⇒ AC = 3AQ = 9 cm