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