1.

Let theequaiton of a ray be |z-2|-|z-1-i| = sqrt(2). If theis strik the y-axis, then the equation of relfected ray (including or excludingthepointof incidence) is .

Answer»

`arg(z-2i)=(pi)/(4)`
`|z-2i|-|z-1-i| = sqrt(2)`
`arg(z-2i)=(3pi)/(4)`
`|z-1i|-|z-1-3i| = 2sqrt(2)`

Solution :INCIDENTRAY is `|z-2|-|z-1-i| = sqrt(2) = |2-(1+i)|`
This ray is EMANATING FORM thepoint '2' and moving totheleft of '2' .
It strikes y-axis at POINT 2i.

Then equation of reflected of reflected ray is `arg(z-2i)=(pi)/(4)`
or `|z-2i|-|z-3-i| = sqrt(2)`


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