# #Abs(z-4+2i)=Abs(z+8-6i)#. In the form #asqrt13, ainQQ#, what is the least value of #absz#?

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I think the cartesian form of the locus of #z# is #y=3/2x+5# , but I'm not sure. Thanks

I think the cartesian form of the locus of

##### 1 Answer

Feb 16, 2018

#### Explanation:

Now the line satisfies the equation

which simplifies to the equation

The distance of this line from the origin is