If `|z-2-i|=|z|sin(pi/4-a r g z)|` , where `i=sqrt(-1)` ,then locus of z, isA. a pair of straing linesB. circleC. parabolaD. ellispe

If `|z-2-i|=|z|sin(pi/4-a r g z)|` , where `i=sqrt(-1)` ,then locus of

1.	If `\|z-2-i\|=\|z\|sin(pi/4-a r g z)\|` , where `i=sqrt(-1)` ,then locus of z, isA. a pair of straing linesB. circleC. parabolaD. ellispe
Answer» Correct Answer - C We have, `\|(x-2)+i(y-1)\|=\|z\|\|(1)/(sqrt2)costheta-(1)/(sqrt2)sintheta\|` where `theta =arg z`. `sqrt((x-2)^(2)+(y-1)^(2))=(1)/(sqrt2)\|x-y\|`, which represents a parabola

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If `|z-2-i|=|z|sin(pi/4-a r g z)|` , where `i=sqrt(-1)` ,then locus of z, isA. a pair of straing linesB. circleC. parabolaD. ellispe

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