Paragraph for Question 7 & 8

MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors

Problem

Paragraph for Question 7 & 8. On the argand plane consider A(z1)A(z_1) , B(z2)B(z_2) and C(z3)C(z_3) as distinct complex numbers lying on the curve ∣z∣=3|z| = \sqrt{3} . If root of z1z2+z2z+z3=0z_1 z^2 + z_2 z + z_3 = 0 has modulus unity then z1,z2,z3z_1, z_2, z_3 are in (A) A.P. (B) G.P. (C) H.P. (D) All of above.

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