InterviewSolution
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InterviewSolution
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Let `C_1 and C_2` are concentric circles of radius ` 1and 8/3` respectively having centre at `(3,0)` on the argand plane. If the complex number `z` satisfies the inequality `log_(1/3)((|z-3|^2+2)/(11|z-3|-2))>1,` thenA. z lies outside `C_(1)` but inside `C_(2)`B. z line inside of both ` C_(1)` and `C_(2)`C. z line outside both `C_(1)` and `C_(2)`D. none of these |
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Answer» Correct Answer - A `log_(1//3)((|z-3|^(2)+2)/(11|z-3|-2))gt1,11|z-3|-2|gt0` `rArr (|z-3|^(2)+2)/(11|z-3|-2)lt(1)/(3)` `rArr (3t-8)(t-1)lt0 " "("where "|z-3|=t)` `rArr 1lt|z-3|lt8//3` |
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