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Question

If the equation |za|+|zb|=3 represents an ellipse and a,bR, (where a is fixed point), then b lies


A
Outside the circle |za|=3
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B
Inside the circle |za|=3
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C
On the circumference of  the circle |za|=3
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D
None of these
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Solution

The correct option is D Inside the circle |za|=3
|za|+|zb|=3 represents an ellipse. Now
|ab|<3
|ba|<3
Let locus of b be α
|αa|<3
Which represents region inside the circle having centre at a and radius 3 units.

Mathematics

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