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The complex numbers z1, z2 and z3 satisfying 
are the vertices of a triangle which is
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?
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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°.
⇒ 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.
⇒ 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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