Q. 25 I4.6( 5 Votes )

Fill in the blanks of the following

If then the locus of z is ………….

Answer :

Explanation:


Given




6 |x – 2 + iy| = π |x + 2 + iy|


Squaring on both sides,


36 |x – 2 + iy|2 = π2 |x + 2 + iy|2


36 [x2 – 4x + 4 + y2] = π2 [x2 – 4x + 4 + y2]


(36 – π2) x2 + (36 – π2) y2 – (144 + 4π2) x + 144 – 4π2 = 0


Which is a circle.


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