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Standard Equation of Ellipse

13.Ends of ma...

Question

13.Ends of major axis ± 3,0), ends of minor axis (0, ± 2)

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Solution

The given end of major axis (±3,0) and ends of minor axis is (0,±2) (1)

Since the ends of major axis are on the x axis, so the equation of the ellipse is represented as x 2 a 2 + y 2 b 2 =1 ,where x is the major axis.

Ends of major axis are represented as ( ±a,0 ) and ends of minor axis are ( 0,±b ) (2)

Compare equation (1) and (2),

a=3,b=2

Hence, the equation of ellipse is x 2 3 2 + y 2 2 2 =1

Therefore, the equation of ellipse with end of major axis as ( ±3,0 ) and minor axis as ( 0,±2 ) is x 2 9 + y 2 4 =1 .

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