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Let z1 and z2 be roots of the equation z2 + pz + q = 0 , where the co−efficients p and q may be complex numbers. Let A and B represent z1 and z2 in the complex plane. If ∠AOB = α ≠ 0 and OA = OB, where O is the origin . Prove that p2 = 4qcos2 (α/2). How to solve this question?

Let z1 and z2 be roots of the equation z2 + pz + q = 0 , where the co−efficients p and q may be complex numbers. Let A and B represent z1 and z2 in the complex plane. If ∠AOB = α ≠ 0 and OA = OB, where O is the origin . Prove that p2 = 4qcos2 (α/2).
 
How to solve this question?

Grade:12

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4407 Points
4 years ago
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