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If z₁ and z₂ are two non-zero complex numbers such that |z₁ + z₂| = |z₁| + |z₂|, then argz₁ - argz₂ is equal to
  • a)
  • b)
    π/2
  • c)
    -π/2
  • d)
    0
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If z₁ and z₂ are two non-zero complex numbers such that |z...
Let z1=a+ib , z2=c+id 
|z1+z2|=|z1|+|z2
|a+ib+c+ib|=|a+ib|+|c+id| 
(a+c+i(b+d)=sqrt(a2+b2)+sqrt(c2+d2
sqrt((a+c)2+(b+d)2 = sqrt(a2+b2)+sqrt(c2+d2)......on simplifying this we get....
a=c and b=d 
argz1=tan-1|(b/a)|...... argz2=tan-1|(d/c)| = tan-1|b/a| 
argz1 - argz2 = 0
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If z₁ and z₂ are two non-zero complex numbers such that |z...
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Community Answer
If z₁ and z₂ are two non-zero complex numbers such that |z...
Let z1=a+ib , z2=c+id
|z1+z2|=|z1|+|z2|
|a+ib+c+ib|=|a+ib|+|c+id|
(a+c+i(b+d)=sqrt(a^2+b^2)+sqrt(c^2+d^2)
sqrt((a+c)^2+(b+d)^2 = sqrt(a^2+b^2)+sqrt(c^2+d^2)......on simplifying this we get....
a=c and b=d
argz1=tan^(-1)|(b/a)|...... argz2=tan^(-1)|(d/c)| = tan^(-1)|b/a|
argz1 - argz2 = 0
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If z₁ and z₂ are two non-zero complex numbers such that |z₁ + z₂| = |z₁| + |z₂|, then argz₁ - argz₂ is equal toa)-πb)π/2c)-π/2d)0Correct answer is option 'D'. Can you explain this answer?
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If z₁ and z₂ are two non-zero complex numbers such that |z₁ + z₂| = |z₁| + |z₂|, then argz₁ - argz₂ is equal toa)-πb)π/2c)-π/2d)0Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If z₁ and z₂ are two non-zero complex numbers such that |z₁ + z₂| = |z₁| + |z₂|, then argz₁ - argz₂ is equal toa)-πb)π/2c)-π/2d)0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If z₁ and z₂ are two non-zero complex numbers such that |z₁ + z₂| = |z₁| + |z₂|, then argz₁ - argz₂ is equal toa)-πb)π/2c)-π/2d)0Correct answer is option 'D'. Can you explain this answer?.
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