CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.
36x2+4y2=144

Open in App
Solution

The equation of given ellipse is,
36x2+4y2=144
i.e.36x214+4y2144=1x24+y236=1.Now 36>4a2=36 and b2=4So the equation of ellipse in standard form isy2a2+x2b2=1
a2=36a=6 and b2=4b=2We know that c=a2b2c=364=32=42Coordinates of foci are (0,+c)i.e.(0,±2)Coordinates of vertices are (0,±a)i.e.(0,±6)Length of major axis=2a=2×6=12Length of minor axis=2b=2×2=4Eccentricity(e)=ca=426=223Length of latus rectum=2b2a=2×46=43


flag
Suggest Corrections
thumbs-up
0
BNAT
mid-banner-image