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Most Important Selected Qs for JEE AdvancedMathematicsComplex Number

Paragraph Consider a circle centred at origin O and passing through points A ( z ₁ ), B ( z ₂ ) and C ( z ₃ ) . The tangents to the circle at A , B and C intersect at D , E and F ; D , E , F are opposite to A , B , C respectively. Also AOB = BOC = , where ( 2 , ) satisfying the equation 17 ^2 x+16 ( 1 2 x x-1 ) =-2 x(1+4 x) On the basis of above information, answer the following : Question z ₁, z ₂, z ₃ are in G.P. w

Options

  1. A-3
  2. B-2
  3. C-1
  4. D0

Correct answer

A. -3

Step-by-step solution

z ₂= z ₁ e^ i 5 6 and z ₃= z ₂ e^ i 5 6 z ₁, z ₂, z ₃ are in G.P. with common ratio e^ i 5 6 . i nr =- 5 6 [ i nr ]=-3

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