Question

Is this a circle?

Answer 1

\[(x+5)^{2}+(y-1)^{2}=100\]

Answer 2

i distributed it to get \[x ^{2}+25+y ^{2}+1=100\]

Answer 3

Yes

Answer 4

ok how can i find b and a? when there are no denominators?

Answer 5

How do you define a and b for a circle ?

Answer 6

Circle is an ellipse with a = b

Answer 7

Equation of circle with centre(h,k) and radius a
is
\[(x-h)^{2}+(y-k)^{2}=a ^{2}\]

Answer 8

oh ok thats right!

Answer 9

so how would you find its eccentricity?

Answer 10

its eccentricity is zero?

Answer 11

Yes, e = 0

Answer 12

thanks!

Answer 13

Remember:
circle, e = 0
ellipse, e < 1
parabola, e = 1 and
hyperbola, e > 1

Answer 14

thank you! its starting to click :)