Question

How we find equation of ellipse with given data,when given, 1.foci and minor axis of length2.foci and major axis of length and foci and vertices?any link for this thanks !!!!

Answer 1

i have many questions on it if u give me link from where i get the way to solve those questions

Answer 2

am its too much easy ..... wats the general equation for ellipse ... write its down here

Answer 3

no i hve to make equation from its elements

Answer 4

i.e ellipse

Answer 5

equation of ellipse is \[\large\frac{ x^2 }{ a^2 }+\frac{y^2}{b^2}=1\]
minor axis: b, major axis: a
Foci: \[(\large \pm c,0)\] where \[\large c^2 = a^2 - b^2\]

Answer 6

the relation between (lengths of) minor axis, major axis and (coordinates of) foci is determined by \[\huge c^2 = a^{2} - b^2\]

Answer 7

sirm3d m confused can u solve this ,find an equation of ellipse with foci
+ and _3,0 and minor axis of length 10?

Answer 8

c=3, b=10. solve a.

Answer 9

a sq=34

Answer 10

use these values of a and b and you have the equation of the ellipse

Answer 11

yeah i got it thanks but how we get c which is equal to 3?

Answer 12

the value of a^2 you gave me is not right, though.

Answer 13

foci at (+/- c,0) and you gave me the foci at (+/- 3,0), so c = 3.

Answer 14

what is c?

Answer 15

u know m very dull in mathematis

Answer 16

\[\huge (\pm c,0) = (\pm 3,0)\]. now you tell me the value of c.

Answer 17

3

Answer 18

right.

Answer 19

i got it

Answer 20

c2=a2-b2 now solve it urslf ... c focus, a major axis, b minur axis. find the values and then put in its standard equation of ellips

Answer 21

\now get it from pic

Answer 22

khuram i have already solved equation ll be x sq\34 + ysq\25 m i right?

Answer 23

c=3 and 2b=10 imlies that b=5 using csq=asq-bsq(sq=square) which give us asq=34 now required equation ll be xsq divided by asq + ysq divided by bsq

Answer 24

daer actaully u didn`t mention the origion corrdinates.. so i can`t guess axactly and u didnt mention here taht which is major and which one is minor exis ...
can u send me origional question

Answer 25

just puting values of a sq and b sq we ll get an equation

Answer 26

yeah wait..

Answer 27

yes its ryt .. ryt now i got ur question a little more clear now

Answer 28

foci\[\pm3,0 and minor axis of length 10\]

Answer 29

i have solved it just check it whether it's right or not ok

Answer 30

yes i got it its origion iz (0,0) yah its ryt mam.

Answer 31

thanks again

Answer 32

yeah it is reallly easy

Answer 33

no need to pay thanks u did it uself i apprecaite ur attemp ... welldone

Answer 34

i was wondering what is c,it was creating problems for me but from ur pdf i came to know it si foci heh:)

Answer 35

ok welll .. u got ur question tahst great