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Question

For the ellipse x24+y21=1 and circle (x1)2+(y+2)2=3, the centre of the circle lies 
  1. outside the ellipse 
  2. on the ellipse
  3. none of these
  4. inside the ellipse


Solution

The correct option is A outside the ellipse 
Centre of the circle is (1,2)
we have,
S1=14+411>0
The centre of the circle lies outside the ellipse 

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