Question

Please! I need help finding information about three graphs? Such as length of axis, eccentricity, and length of focal chord

Answer 1

I have equations for the graphs if you could help @ganeshie8

Answer 2

I know some things such as the center, foci, vertices and such

Answer 3

conics !
il have to revise, but i can give a hand :)
do u have specific question ?

Answer 4

Yes! (x-5)^2/4 + (y+3)^2/16=1. I need to find the eccentricity, lengths of major and minor axis

Answer 5

use the chart for everything u wanto find.

for eccentricity use below :-
\(\large e = \frac{c}{a}\)

Answer 6

use what?

Answer 7

use the attached chart
u need to use the formulas from second column

Answer 8

so length of major axis =32?

Answer 9

length of minor = 8?

Answer 10

No.
first convert the equation to one of the two standard forms.

Answer 11

\(\large \frac{ (x-5)^2}{4} + \frac{(y+3)^2}{16}=1\)

Answer 12

\(\large \frac{ (x-5)^2}{2^2} + \frac{(y+3)^2}{4^2}=1\)

Answer 13

a = 4
b = 2

Answer 14

so major=8 and minor=4?

Answer 15

Length of major axis = 2a = 2*4 = 8
Length of minor axis = 2b = 2*2 = 4

Answer 16

Yes !

Answer 17

What about eccentricity?

Answer 18

eccentricity = c/a

u need to find c first

Answer 19

use below to find c :-

c^2 = a^2-b^2

Answer 20

c^2=20

Answer 21

c^2 = a^2-b^2
= 4^2 - 2^2
= 16 - 4
= 12

Answer 22

c = sqrt(12) = sqrt(4*3) = 2sqrt(3)

eceentricity = c/a = ?

Answer 23

2sqrt3/4

Answer 24

yes, u may simplify a bit

sqrt(2)/2

Answer 25

* sqrt(3)/2

Answer 26

Oh ok, thanks!

Answer 27

np :)