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If A,B,C are the points in the Argand plane representing the complex numbers $z_{1}, z_{2}, z_{3}$ such that $z_{1} = \frac{λ z_{2} + z_{3}}{λ + 1},$ where $λ \in R,$ then the distance of A from the line BC is

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Correct option is D

As, z1=λz2+z3λ+1 Which shows z1, divides z2,z3 in the ratio of 1 : λ .Thus, the points are collinear.∴ Distance of A from line BC is zero.

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If A,B,C are the points in the Argand plane representing the complex numbers z1,z2,z3 such that z1=λz2+z3λ+1, where λ∈R, then the distance of A from the line BC is

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Ready to Test Your Skills?

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If A,B,C are the points in the Argand plane representing the complex numbers $z_{1}, z_{2}, z_{3}$ such that $z_{1} = \frac{λ z_{2} + z_{3}}{λ + 1},$ where $λ \in R,$ then the distance of A from the line BC is