Circles question in higher maths homework Watch

Misshussain23
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Can anyone help me answer this question, or just or the steps to do this, not too sure and hope you can understand it


The line
y +2x=k
where
k > 0 is a tangent to the circle with equation
x squared + y squared -2x -4 (circle eqn)
a) Find the value of k.
b) Deduce the coordinates of the point of contact.
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TSR Jessica
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Sorry you've not had any responses about this.

Why not try posting in a specific subject forum- you might have more luck there.

Here's a link to our subject forum which should help get you more responses.

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crashMATHS
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(Original post by Misshussain23)
Can anyone help me answer this question, or just or the steps to do this, not too sure and hope you can understand it


The line
y +2x=k
where
k > 0 is a tangent to the circle with equation
x squared + y squared -2x -4 (circle eqn)
a) Find the value of k.
b) Deduce the coordinates of the point of contact.
If its a tangent, then the circle and the line only intersect once.

What you can hence do is form an equation that will allow you to find the coordinates of intersection in terms of k and use your knowledge of the discriminant to work out what k is.

Have a go
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StopBanningDuck
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(Original post by kingaaran)
If its a tangent, then the circle and the line only intersect once.

What you can hence do is form an equation that will allow you to find the coordinates of intersection in terms of k and use your knowledge of the discriminant to work out what k is.

Have a go
You're a savage dude. You're only ever on this site late at night, do you sleep?
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crashMATHS
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(Original post by StopBanningDuck)
You're a savage dude. You're only ever on this site late at night, do you sleep?
My night is your day
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StopBanningDuck
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(Original post by kingaaran)
My night is your day
That is some real vampire s h i t right there :afraid:
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crashMATHS
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(Original post by StopBanningDuck)
That is some real vampire s h i t right there :afraid:
Haha, what a lad


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StopBanningDuck
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. I meant to ask you this a long time ago, but mods kept banning me for no reason, so I had to chose the right time to resurrect myself. How did your Cambrige interview go?
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crashMATHS
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(Original post by StopBanningDuck)
. I meant to ask you this a long time ago, but mods kept banning me for no reason, so I had to chose the right time to resurrect myself. How did your Cambrige interview go?
Meh, one was decent, the other was horrible.

As you might know, I didn't get an offer. But idm, now I'm going to do maths and physics at Warwick and it equally excites me




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StopBanningDuck
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(Original post by kingaaran)
Meh, one was decent, the other was horrible.

As you might know, I didn't get an offer. But idm, now I'm going to do maths and physics at Warwick and it equally excites me




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Their lost, I guess. The interviews were not formal right? So, they asked you questions relating to maths?
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crashMATHS
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(Original post by StopBanningDuck)
Their lost, I guess. The interviews were not formal right? So, they asked you questions relating to maths?
Yeah, just maths


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Misshussain23
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(Original post by kingaaran)
If its a tangent, then the circle and the line only intersect once.

What you can hence do is form an equation that will allow you to find the coordinates of intersection in terms of k and use your knowledge of the discriminant to work out what k is.

Have a go
Thanks so much! It makes much more sense now
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