1.

What do the {z:|z-a|+|z+a|=2c} "where" |a|lt c represent?

Answer»

Solution :`{z:|z-a|+|z+a\=2e}`
`"where " |a|lt`
` Here z is a COMPLEX number .
Let `z=x=iy.`
`:.(xy)` is the point corresponding the complex number z.
'a' and '-a' be TWO fixed points.
`:.`Eqn.(1) implies that the SUM of the distancer of the point (x,y) from two points a' and '-a` is CONSTANT i.e.2c
`:.` The locat is an ellipse.


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