Math Is Fun Forum
You are not logged in.
- Topics: Active | Unanswered
Pages: 1
#1 2018-04-02 02:48:31
- Monox D. I-Fly
- Member
- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000
[ASK] Tangent of a Circle (Again)
If the line x + my = 1 is a tangent of the circle
, the value of m is ....A. -2
B.
C.
D. 3
E. 4
Looking at the circle's equation, the center is (2, -3) and the radius is
. If I know the coordinate where the line meet the circle I think I can solve this by myself, but I don't know how. Should I substitute x = 1 - my to the circle equation, or is there a simpler way?Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.
Offline
#2 2018-04-02 05:20:36
- Alg Num Theory
- Member
- Registered: 2017-11-24
- Posts: 693
- Website
Re: [ASK] Tangent of a Circle (Again)
Substitute x = 1 − my into the quadratic expression. If the line is tangent to the circle, this should be a perfect square. Complete the square (or otherwise) and solve for m.
Me, or the ugly man, whatever (3,3,6)
Offline
#3 2018-04-02 05:57:47
- Alg Num Theory
- Member
- Registered: 2017-11-24
- Posts: 693
- Website
Re: [ASK] Tangent of a Circle (Again)
I got two values of m:
[list=*]
[*]
[/list]
– neither of which is among your multiple choices. Are you sure you haven’t made a typo copying the question?
[list=*]
[*]
[/*]
[/list]
Me, or the ugly man, whatever (3,3,6)
Offline
#4 2018-04-02 12:55:55
- Monox D. I-Fly
- Member
- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000
Re: [ASK] Tangent of a Circle (Again)
Yes, D should be 2 so that is the answer. Thanks.
Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.
Offline
Pages: 1