Differential Equations Question 111
Question: The differential equation of all straight lines passing through the point $ (1,-1) $ is
[MP PET 1994]
Options:
A) $ y=(x+1)\frac{dy}{dx}+1 $
B) $ y=(x+1)\frac{dy}{dx}-1 $
C) $ y=(x-1)\frac{dy}{dx}+1 $
D) $ y=(x-1)\frac{dy}{dx}-1 $
Show Answer
Answer:
Correct Answer: D
Solution:
Since the equation of line passing through (1,-1) is $ y+1=m(x-1) $
Therefore $ y+1=\frac{dy}{dx}(x-1) $
Therefore $ y=(x-1)\frac{dy}{dx}-1 $ .
BETA
