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:

विकल्प

• 1

• `1/2`

• –1

• `1/3`

Answer 1

`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`