- #1
alijan kk
- 130
- 5
Homework Statement
Let f(x,y)=0 ---------> 1
be any equation in the variables x and y. Equation (1) is called a homogeneous equation of degree n (a positive integer) if :
f(kx,ky)=knf(x,y)
for some real number k.
for example in equation (5) below , if we replace x and y by kx and ky respectively, we have
k2(y2-(m1m2)xy+m1m2x2)=0
k2f(x,y)=0
Thus (5) is a homogeneous equation of degree 2.
A general second degree homogeneous equation can be written as:
ax2+2hxy+by2=0
Homework Equations
(y-m1x)(y-m2x)=0
y2-(m1+m2)xy+m1m2x2=0
The Attempt at a Solution
but what are "a" and "h" are equal to ? my book doesnot tell any thing about it ,, or are they obvious from the equations.
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