Home › CBSE Class 11 › mathematics › Complex Numbers — Algebra, Powers of i, Modulus, Conjugate, Multiplicative Inverse, Argand Plane › If 4x + i(3x - y) = 3 + i(-6), then x and y are:
If 4x + i(3x - y) = 3 + i(-6), then x and y are:
Ax = -6, y = 3
Bx = 3, y = 6
Cx = 4/3, y = -6
Dx = 3/4, y = 33/4
Answer & Solution
Correct answer: D. x = 3/4, y = 33/4
Equate real parts: 4x = 3 → x = 3/4. Equate imaginary parts: 3x - y = -6 → 9/4 - y = -6 → y = 9/4 + 6 = 33/4.
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