If three complex numbers z1- z2 and z3 are in A-P- then points representing them lie on

Since z1, z2 and z3 are in A.P Hence 2z2 = z1 + z3 i.e #160;z2=z1+z3z2 i.e z2 is the mid point of line joining z1 and z3 rArr; z1, z2 nbsp; and z3 lie on ...

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Standard VI

Mathematics

Representing Integers on the Number Line

If three comp...

Question

If three complex numbers z₁, z₂ and z₃ are in A.P., then points representing them lie on ____________.

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Solution

Since z₁, z₂ and z₃are in A.P
Hence 2z₂ = z₁+ z₃
$i . e z_{2} = \frac{z_{1} + z_{3}}{z_{2}}$
i.e z₂ is the mid-point of line joining z₁and z₃
⇒ z₁, z₂and z₃lie on a straight.

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If three complex numbers z1, z2 and z3 are in A.P., then points representing them lie on ____________.

Since z1, z2 and z3 are in A.P Hence 2z2 = z1 + z3 i.e z2=z1+z3z2 i.e z2 is the mid-point of line joining z1 and z3 ⇒ z1, z2 and z3 lie on a straight.

If three complex numbers z₁, z₂ and z₃ are in A.P., then points representing them lie on ____________.

Since z₁, z₂ and z₃are in A.P
Hence 2z₂ = z₁+ z₃
$i . e z_{2} = \frac{z_{1} + z_{3}}{z_{2}}$
i.e z₂ is the mid-point of line joining z₁and z₃
⇒ z₁, z₂and z₃lie on a straight.