AP EAMCET · Maths · Complex Number
If \(\alpha, \beta\) are the two real roots of \(4^{\mathrm{tn}}\) roots of unity and \(\gamma, \delta\) are the other two roots of it, then the sum of the eccentricities of the conics \(|z-\alpha|+|z-\beta|=4\) and \(|z-\gamma|+|z-\delta|=6\) is
- A \(\frac{5}{6}\)
- B \(\frac{5}{12}\)
- C \(\frac{3}{7}\)
- D \(\frac{4}{5}\)
Answer & Solution
Correct Answer
(A) \(\frac{5}{6}\)
Step-by-step Solution
Detailed explanation
The real solutions of \(4^{\text {th }}\) root of unity is \pm 1 \(\therefore \alpha=1, \beta=-1\) and other roots are \(\pm i\)…
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