The differential equation that represents the family of lines parallel to $x+y = 2 $ is :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → $\frac{dy}{dx}+1=0$
for lines to be parallel, the slope should be same.
$∴x+y=2$
Differentiating w.r.t. 'x'
$1+\frac{dy}{dx}=0$
$∴\frac{dy}{dx}+1=0$ is the differentiate equation that represents the family of curves which are parallel.