Question

In the given figure, the value of x for which DE || AB is

पर्याय

• 4

• 1

• 3

• 2

Answer 1

Given: In ∆ABC,  DE || AB.

To find: the value of x

According to basic proportionality theorem if a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.

In ∆ABC,  DE || AB

`(AD)/(DB)=(AE)/(EC)`

`(x+3)/(3x+19)=(x)/(3x+4)`

`(x+3)(3x+4)=(x)=(3x+19)`

`3x^2+4x+9x+12=3x^2+19x`

`19x-13x=12`

`6x=12`

`x=2`

Hence we got the result `d`.