SOLUTION: Can anybody give me some hint about this question ? The conic section is given x^2+y^2-2xy+10x-2y+9=0 *find the canonical equation and the particular type of the conic secti

Question 1085163: Can anybody give me some hint about this question ?
The conic section is given x^2+y^2-2xy+10x-2y+9=0
*find the canonical equation and the particular type of the conic section k ?
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52798) (Show Source): You can put this solution on YOUR website!
.
HINT: = .

Therefore, = is equivalent to = . (1) Now introduce new variables u = x - y, (2) v = x + y. (3) From (2) and (3) you have x = , (4) y = . (5) Now substitute these things into (1). You will have = , or, equivalently, = , or, equivalently, = , = , = , = . Which conic section is this ?? Correct ! It is a PARABOLA, in coordinates (u,v).

Solved.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
You have to rotate the axes wrt the conic.
Do you know how to do that?
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