1.

Show that the following number are equidistant from the origin :sqrt2 +i ,1 +isqrt2, isqrt3

Answer»

Solution :`|SQRT2+i|=sqrt((sqrt2)^2+1^2)=SQRT3`
`|1+isqrt2|=sqrt(1^2+(sqrt2)^2)=sqrt3"and"|isqrt3|=sqrt3`
`:.` The points are equidistant from the origin.


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