Maths: how to do, thanks?

2020-05-09 8:00 pm

回答 (1)

2020-05-09 8:37 pm
✔ 最佳答案
C: x²+y²+6x-3y=0
L: y=kx

At the pt. which L touches circle C,
x²+(kx)²+6x-3(kx)=0
(1+k²)x²+(6-3k)x=0

Since L touches circle C at only 1 pt.
△=b²-4ac=0
=> (6-3k)²-4(1+k²)(0)=0
=> (6-3k)²=0
∴ 6-3k=0 
So, k=2


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