Equation reducible to homogeneous via translation (For dy/dx = (ax+by+c)/(a'x+b'y+c'), if lines ax+by+c=0 and a'x+b'y+c'=0)
jee-mainjee-advanced
For dy/dx = (ax+by+c)/(a'x+b'y+c'), if lines ax+by+c=0 and a'x+b'y+c'=0 meet at (h,k), set X=x-h, Y=y-k to get a homogeneous equation in X,Y.
What each symbol means
| Symbol | What it stands for |
|---|---|
| h, k | Intersection of the two lines in numerator and denominator (when not parallel). |
When to use this
Non-parallel lines: aa' ratio differs from bb' ratio in the sense of coefficients not proportional.