jee-main 2020 Q51

jee-main · India · session1_08jan_shift1 Complex Numbers Argand & Loci Solving Complex Equations with Geometric Interpretation

If the equation $x ^ { 2 } + b x + 45 = 0 , b \in R$ has conjugate complex roots and they satisfy $| z + 1 | = 2 \sqrt { 10 }$, then
(1) $b ^ { 2 } - b = 30$
(2) $b ^ { 2 } + b = 72$
(3) $b ^ { 2 } - b = 42$
(4) $b ^ { 2 } + b = 12$

If the equation $x ^ { 2 } + b x + 45 = 0 , b \in R$ has conjugate complex roots and they satisfy $| z + 1 | = 2 \sqrt { 10 }$, then\\
(1) $b ^ { 2 } - b = 30$\\
(2) $b ^ { 2 } + b = 72$\\
(3) $b ^ { 2 } - b = 42$\\
(4) $b ^ { 2 } + b = 12$

Paper Questions

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