`(x^(2))/(49)+(y^(2))/(36)=1`
Comparing with `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`
`:.a^(2)=49" "rArr" "a=7`
`b^(2)=36" "rArr" "b=6`
Here, `agtb`.
`:.` The major axis of the ellipse will be along x-axis Vertices `-=(pma,0)-=(pm7,0)`
Eccentricity `e=sqrt(1-(b^(2))/(a^(2)))=sqrt(1-(36)/(49))`
`=sqrt((13)/(49))=(sqrt(13))/(7)` Now, ae `=7*(sqrt(13))/(7)=sqrt(13)`
`:. "Coordinates of foci" -=(pmae,0)-=(pmsqrt(13),0)`
Major axis `=2a=2xx7=14`
Minor axis `=2b=2xx6=12`
Length of rectum `=(ab^(2))/(a)=(2xx36)/(7)=(72)/(7)`