Q. 214.6( 10 Votes )

Find the equation

Answer :


Given that



we know that,





We know that,


c2 = a2 – b2






…(i)


It is also given that Coordinates of foci is on the y – axis


So, Equation of ellipse is of the form



Substituting the value of b2 in above eq., we get



…(ii)


Given that ellipse passing through the points (6, 4)


So, point (6, 4) will satisfy the eq. (ii)


Taking point (6, 4) where x = 6 and y = 4


Putting the values in eq. (ii), we get








Substituting the value of a2 in eq. (i), we get




Substituting the value of a2 and b2 in the equation of an ellipse, we get





or 16x2 + 7y2 = 688


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