Question 663319
'what is the equation of the ellipse that has center at (3,4), a=3,b=2 and the major axis is parallel to the y-axis?
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This is an equation of an ellipse with vertical major axis
Its standard form: {{{(x-h)^2/b^2+(y-k)^2/a^2=1}}}, a>b, (h,k)=(x,y) coordinates of the center
For given ellipse:
center: (3,4)
a=3
a^2=9
b=2
b^2=4
Equation:
{{{(x-3)^2/4+(y-4)^2/9=1}}}