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Question

An ellipse with major axis 4 and minor axis 2 touches both the coordinate axis, then Locus of its center is

A
x2y2=5
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B
x2+y2=5
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C
x44+y2=5
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D
None of these
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Solution

The correct option is D None of these
Given that,
Length of major axis =2
Length of minor axis =2
then, the centre of ellipse is (1,1)
If it touches both the co-ordinates axes in First quadeont
so, we use
(x1)222+(y1)222=1
(x1)2+(y1)2=4
x22x+1+y22y+1=4
x2+yZ22x2y2=0
x2+y22x2y2=0
Hence, this the answer.


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