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# Further Maths, Loci URGENT HELP watch

1. hey
I have a question that I have been trying to solve it but I am getting unusual outcome,
Can a radius of a circle could possible be an imaginary? is it possible?
2. It's possible yes, but I'm not sure they'd give you an imaginary radius in a FM loci question, what was the question?
3. (Original post by psycholeo)
It's possible yes, but I'm not sure they'd give you an imaginary radius in a FM loci question, what was the question?
|z-6-i|=2|z-9-4|
4. Do you mean 2 l z -9 - 4i l ?
5. (Original post by psycholeo)
Do you mean 2 l z -9 - 4i l ?
Yes sorry
6. (Original post by MathsLove)
Yes sorry
The equation specified is not a circle, it's the equation of a perpendicular bisector in the form l z - a l = l z - b l where a and b are points
7. (Original post by psycholeo)
The equation specified is not a circle, it's the equation of a perpendicular bisector in the form l z - a l = l z - b l where a and b are points
You left out the number in front of the modules
That’s why a circle
8. (Original post by MathsLove)
|z-6-i|=2|z-9-4|

But to answer your question, it doesn't make sense to say a radius is an imaginary number. The radius is defined to be where in order to have a circle. An imaginary radius would imply no solutions, as then you would have that which makes no sense as on the other side in eq you are adding squares of two real numbers and getting a -ve. You would need to let for the equation to make sense, but then you cannot define as
9. (Original post by RDKGames)

But to answer your question, it doesn't make sense to say a radius is an imaginary number. The radius is defined to be where in order to have a circle. An imaginary radius would imply no solutions, as then you would have that which makes no sense as on the other side in eq you are adding squares of two real numbers and getting a -ve. You would need to let for the equation to make sense, but then you cannot define as
Thank you very much

I think I inspected the outcome too early which putted me off, now when I worked to the bottom the radius is not an imaginary lol when I had a huge negative numbers in the RHS I had a panic attack saying “how am I gonna increase this negative numbers to positive “ lol

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