JEE PYQ

[JEE Advanced 1980] find the real x y for which 1 i x 2i 3 i 2

VAVidaara Admin Asked 2d ago 0 views 1 answer

Find the real $x,y$ for which $\dfrac{(1+i)x-2i}{3+i}+\dfrac{(2-3i)y+i}{3-i}=i$.

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Answer: $x=3,\ y=-1$.

Clearing denominators and equating real and imaginary parts gives two linear equations solving to $x=3,\ y=-1$.

JEE Advanced 1980 · Complex Numbers — verified solution by the Vidaara Team.

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