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Mathematics · JEE | COMPLEX NUMBERS AND QUADRATIC EQUATIONS
हिन्दीIf \( 4x + i(3x - y) = 3 + i(-6) \), where \( x \) and \( y \) are real numbers, the value of \( y \) is:
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Correct answer · Option A
\( \frac{33}{4} \)
Explanation
Equating real parts gives \( 4x = 3 \implies x = \frac{3}{4} \). Equating imaginary parts gives \( 3x - y = -6 \implies 3(\frac{3}{4}) - y = -6 \implies y = \frac{9}{4} + 6 = \frac{33}{4} \).
