1.

If the argument of (z-a)(barz-b) is equal to that of ((sqrt(3)+i)(1+sqrt(3)i))/( 1+i) , where a,b are two real numbers and barz is the complex conjugate of the Argand diagram. Find the values of a and b so that be locus becomes a circle having its centreat (1)/(2)(3+i).

Answer»


ANSWER :`X^(2)+y^(2)-(a+b )x-(a-b)y+ab; ab=0;`
`a=2 and b=1`


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