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Question
In ΔABC, DE || BC. If AE = (2x + 1) cm, EC = 4 cm, AD = (x + 1) cm and DB = 3 cm, then value of x is:
Options
1
`1/2`
–1
`1/3`
MCQ
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Solution
`bb(1/2)`
Explanation:
Given DE || BC
∴ `(AD)/(BD) = (AE)/(EC)`
⇒ `(x + 1)/3 = (2x + 1)/4`
⇒ 4x + 4 = 6x + 3
⇒ 1 = 2x
⇒ x = `1/2`
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