Question

1
A
4. In AABC, DE || BC, the value of x will be
(A) 1
(B) 2
(2+3)
(C) 3
(D) 4
(+1)
(1 + 5)
D
E
B
C​

Answer 1

Answer:

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.