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the root of the equation 2 1 i x 4 2 i x 5 3i 0 wh
Question:
The root of the equation 2(1+i)x²-4(2-i)x-5-3i=0 which has greater modulus is
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After finding roots, compare |z| to determine the larger modulus.
BITSAT - 2019
BITSAT
Updated On:
Mar 20, 2026
\( \dfrac{3-5i}{2} \)
\( \dfrac{5-3i}{2} \)
\( \dfrac{3-i}{2} \)
none
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The Correct Option is
B
Solution and Explanation
Solving the quadratic equation and comparing moduli of the roots, the root with greater modulus is (5-3i)/(2).
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