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Class 12 Tuition > Learn Class XI-XII Tuition (PUC) > |z-3-4i|=7 find the locus of z. sol.we know that in...
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|z-3-4i|=7 find the locus of z. sol.we know that in argand plane the complex no. is represented with a pt. compare this equation with |z-q|=r whera q is a complex no. (every real no. is also a complex no.)so Q=(3,4) in argand plane .and z is any point on the argand plane. |z-3-4i| represent the distance of point z from pt.(3,4) in the argand plane or complex plane. this distance is also given in the question =7.so the locus of z is any point from pt.(3,4) which is at a distance 7 from point (3,4).which is represnt a circle.because the circle is a curve traced by a moving point which is moving in such a way that it is at a fixed distance from a fixed pt. while moving.

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It can be re written in Cartesian form as (x-3)^2 + (y-4)^2 = 7^2 This is equation of a circle with center at (3,4) and radius equal to 7
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Solution: Let z = x +iy I x+iy -3 -4i I= 7 I (x-3) +(y-4)i I = 7 (x-3)^2 +(y-4)^2 = 7^2 is the locus of Z. which is a circle with center at( 3, 4) and radius 7 units.
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These videos include 12 products like examples, Object- demonstrations, Experiments, problem solving AVDHAN graph,etc. These are real class recorded videos which provides you the real teacher teaching.
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Mathematics for JEE Mains/Advanced, XI & XII (All Boards)

Circle (3,4);7
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Use expert faculty video lectures based on AVDHAN remembering science to remember your chapter in one view. These videos include 12 products like examples, Object- demonstrations, Experiments, problem solving AVDHAN graph,etc. These are real class recorded videos which provides you the real teacher...
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Use expert faculty video lectures based on AVDHAN remembering science to remember your chapter in one view. These videos include 12 products like examples, Object- demonstrations, Experiments, problem solving AVDHAN graph,etc. These are real class recorded videos which provides you the real teacher teaching with improved method of learning based on AVDHAN. See the demo videos on web site bhagatsir.com and purchase your course on line. These are available in ENGLISH as well as in HINDI language. These are available for class 6th to class 12th of CBSE,ICSE, RAJASTHAN ,HARYANA,JHARKHAND ,BIHAR,UP,NEW DELHI ,HIMACHAL,MP ,UTRANCHAL BOARD and all other state boards. CA and CS. You can learn at your will at any time through internet as these are available all the 24 hours to you read less
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Deep Classes Nerul West Branch

(x-3)^2 + (y-4)^2 = 7^2
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