Let II and be two fixed non zero complex numbers and z be a variable complex number. If…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
Let \(\text { II }\) and \(\beta\) be two fixed non zero complex numbers and z be a variable complex number. If the lines \(\mathbf{x} \bar{z}+\bar{x} z+1=0 \text { and } \beta \bar{z}+\beta z+1=0\) are mutually perpendicular, then
- \(\bar{a} \beta+\bar{a} \beta\) = 0
- \(\pi \beta-\bar{\pi} \beta\) = 0
- \(\overline{\alpha \beta-\alpha \beta}\) = 0
- \(\overline{\mathbf{a}}+\beta \overline{\mathbf{a}}=0\)
Answer
(A) a + a = 0
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