JEE Main 202116 Mar, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002The least value of |z| where z is complex number which satisfies the inequality exp((∣z∣+3)(∣z∣−1)∣∣z∣+1∣loge2)≥log2∣57+9i∣,i=−1\exp \left( {{{(|z| + 3)(|z| - 1)} \over {||z| + 1|}}{{\log }_e}2} \right) \ge {\log _{\sqrt 2 }}|5\sqrt 7 + 9i|,i = \sqrt { - 1}exp(∣∣z∣+1∣(∣z∣+3)(∣z∣−1)loge2)≥log2∣57+9i∣,i=−1, is equal to :AOption A. 8BOption B. 3COption C. 2DOption D. 5\sqrt 55CheckSkip · show solution
