Misc 12 - Chapter 4 Class 11 Complex Numbers
Last updated at July 15, 2026 by Teachoo
Miscellaneous
Misc 1
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Chapter 4 Class 11 Complex Numbers
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Transcript
Misc, 18 Find the number of non-zero integral solutions of the equation |1 ā š|š„ = 2š„ . We need to find the value of x which should be an integer but not 0 Lets first find the value of |1 ā š| 1 ā š Complex number is of the form x + iy Where š„ = 1 š¦ = ā1 |1 ā š| = ā(š„^2+š¦2) = ā((1)2+(ā1)2) = ā(1+1) = ā2 Hence, |1 ā š| = ā2 Given |1 ā š|š„ = 2š„ Putting |1 ā š| = ā2 (ā2)š„ = 2š„ (ā2)š„ = (ā2 Ć ā2)š„ (ā2)š„ = (ā2)^(2 Ć š„) (ā2)š„ = ćā2ć^( 2š„) Comparing Powers š„ = 2š„ š„ ā2š„ = 0 ā š„ = 0 š„ = 0 Hence, There is no non-zero integral solution
