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Question

In the figure, PQ || AB, CQ = 4.8 cm, QB = 3.6 cm and AB = 6.3 cm. If AP = x, length of AC in terms of x is .


A
83x
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B
53x
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C
43x
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D
73x
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Solution

The correct option is D 73x

In ΔCQP and ΔCBA,

PQ||AB (Given)

By basic proportionality theorem, CQQB=CPAP4.83.6=CPAP43=CPAP

Adding 1 both sides, we get

43+1=CPAP+14+33=CP+APAP73=CP+APAP73=ACx
AC=73x units


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