Question 831602
Given the following information, write each ellipses equation in standard form. The vertices for this equation is (12,0),(-12,0) and the focii for this equation is (2 sqrt.11,0), (-2 sqrt.11,0). What will the equation in standard form be?
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Equation is that of an ellipse with horizontal major axis and center at origin (0,0)
Its standard form: {{{x^2/a^2+y^2/b^2=1}}}
center:(0,0)
a=12(distance from center to vertices on the major axis)
a^2=144
..
c=2√11((distance from center to vertices on the major axis)
c^2=44
c^2=a^2-b^2
b^2=a^2-c^2=144-44=100
Equation:
{{{x^2/144+y^2/100=1}}}