Question

# If the equation |z−a|+|z−b|=3 represents an ellipse and a,b∈R, (where a is fixed point), then b lies

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

Solution

## The correct option is D Inside the circle |z−a|=3|z−a|+|z−b|=3 represents an ellipse. Now |a−b|<3 ⇒|b−a|<3 Let locus of b be α ⇒|α−a|<3 Which represents region inside the circle having centre at a and radius 3 units.Mathematics

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