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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Obtain the Cartesian form of the locus of z = x + iy in the following cases: [Re(iz)]2 = 3 - Mathematics

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Question

Obtain the Cartesian form of the locus of z = x + iy in the following cases:

[Re(iz)]2 = 3

Sum

Solution

z = x + iy

[Re(iz)]2 = 3

⇒ [Re[i(x + iy]]2 = 3

⇒ [Re(ix – y)]2 = 3

⇒ (– y)2 = 3

⇒ y2 = 3

shaalaa.com
Geometry and Locus of Complex Numbers
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Chapter 2: Complex Numbers - Exercise 2.6 [Page 75]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 2 Complex Numbers
Exercise 2.6 | Q 3. (i) | Page 75
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