Find the length of the major axis of an ellipse whose axis are the co-ordinate axis with latus rectum 20 , whose minor axis is the distance between the foci.

Dear Student,

Please find below the solution to the asked query :
Let the ellipse be x2a2+y2b2=1Minor axis = 2b = 2ae b= ae ......1and latus rectum = 2b2a= 20 .....2and we know that b2= a21-e2b2a2= 1-b2a2  Using equation 12b2a2= 1....3Using equation 2 and 320a= a2a = 20 So b = 102So length of major axis= 2a = 40 unit

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