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The complex numbers z1, z2 and z3 satisfying   are the vertices of a triangle which is
  • a)
    of area zero (2001S)
  • b)
    right-angled isosceles
  • c)
    equilateral
  • d)
    obtuse-angled isosceles
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The complex numbers z1, z2 and z3 satisfying are the vertices of a tri...
⇒ arg (cos(- π /3) + i sin (-π /3))
⇒ angle between z1 – z3  and  z2– z3  is 60°.
and 
NOTE THIS STEP
⇒ The Δ  with vertices z1, z2 and z3 is isosceles with vertical ∠60° . Hence rest of the two angles should also be 60° each.
⇒  Req. Δ is an equilateral Δ.
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The complex numbers z1, z2 and z3 satisfying are the vertices of a triangle which isa)of area zero (2001S)b)right-angled isoscelesc)equilaterald)obtuse-angled isoscelesCorrect answer is option 'C'. Can you explain this answer?
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The complex numbers z1, z2 and z3 satisfying are the vertices of a triangle which isa)of area zero (2001S)b)right-angled isoscelesc)equilaterald)obtuse-angled isoscelesCorrect answer is option 'C'. 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 The complex numbers z1, z2 and z3 satisfying are the vertices of a triangle which isa)of area zero (2001S)b)right-angled isoscelesc)equilaterald)obtuse-angled isoscelesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The complex numbers z1, z2 and z3 satisfying are the vertices of a triangle which isa)of area zero (2001S)b)right-angled isoscelesc)equilaterald)obtuse-angled isoscelesCorrect answer is option 'C'. Can you explain this answer?.
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