Consider \( a z^{2}+b z+c=0 \), where \( a, b, c \in R \) and \( 4 a cb^{2} \). If \( z_{1} \) a... VIDEO
Consider \( a z^{2}+b z+c=0 \), where \( a, b, c \in R \) and \( 4 a cb^{2} \). If \( z_{1} \) and \( z_{2} \) are the roots of the equation given above, then which of the following complex number is purely real?
(a) \( z_{1} \bar{z}_{2} \)
(b) \( \bar{z}_{1} z_{2} \)
(c) \( z_{1}-z_{2} \)
(d) \( \left(z_{1}-z_{2}\right) i \)
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