If AD=2, AC=x-1, BE=x+2 and AB||DE, then x=
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Step-by-step explanation:
In Δ ABC, DE ∥ BC
∴DBAD=ECAE
(By basic proportionality theorem)
⇒x−2x=x−1x+2
⇒x(x−1)=(x+2)(x−2)
⇒x2−x=x2−4
⇒x=4.
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