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Questions  

 Equation of an ellipse with centre at the origin passing  through  (5,0) and having eccentricity 2/3  is. 

a
16x2+5y2 =25
b
9x2+5y2 =25
c
5x2+9y2 =25
d
5x2+16y2 =25

detailed solution

Correct option is C

Let the equation of the ellipse be x2a2+y2b2=1.It  passes through  (5,0)⇒a2=25b2=a21−e2⇒b2=251−49=1259Hence the required equation of the ellipse is    5x2+9y2 =25

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