[ERdoctor]

Hi all,

I have been re-visiting old topics recently in prep. for the c2 exam. Today I am doing circles, but I can't do this question. I know I have done it before, but I have forgotten which makes it even more frustrating

Show that the circle with equation x² + y² - 2ax - 2bx + b² = 0 touches the Y-axis.

Thanks a lot for any help

[TenOfThem]

At the y-axis you have x=0

Set x=0 and see what happens

[ERdoctor]

(Original post by TenOfThem)
At the y-axis you have x=0

Set x=0 and see what happens

Hi, I did that and got y² + b² = 0

But how does this show that it touches the y axis?

Thanks

[TenOfThem]

I think that you have copied the question incorrectly and you should have -2by not -2bx

[PeteyB26]

I don't think you can answer this question unless you have the values for a and b as they're the numbers that give you the translation from your original circle..

[ERdoctor]

(Original post by TenOfThem)
I think that you have copied the question incorrectly and you should have -2by not -2bx

I double checked and the way I copied it is the way its in the book, but maybe this is a typo in the book? Out of interest, what would you do if it was -2by?

[TenOfThem]

If it is -2by









When x=0, y=b ... a single solution so the circle touches the y-axis at (0,b)



So, yes, I think it is a typo in the book

[ERdoctor]

(Original post by TenOfThem)
If it is -2by









When x=0, y=b ... a single solution so the circle touches the y-axis at (0,b)



So, yes, I think it is a typo in the book

Thats makes sense, thanks a lot!

Stupid textbooks =_=