Solve the following equation for x, y ∈ R: x+iy2+3i = 7 – i - Mathematics and Statistics

प्रश्न

Solve the following equation for x, y ∈ R:

`(x + "i"y)/(2 + 3"i")` = 7 – i

बेरीज

उत्तर

`(x + "i"y)/(2 + 3"i")` = 7 – i

∴ x + iy = (7 – i)(2 + 3i)
∴ x + iy = 14 + 21i – 2i – 3i²
∴ x + iy = 14 + 19i – 3(– 1) ...[∵ i² = – 1]
∴ x + iy = 17 + 19i
Equating real and imaginary parts, we get
x = 17 and y = 19

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Solution of a Quadratic Equation in Complex Number System

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

Q 4) iii)Q 4) ii)Q 4) iv)

पाठ 3: Complex Numbers - MISCELLANEOUS EXERCISE - 3 [पृष्ठ ४३]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 11 Maharashtra State Board

पाठ 3 Complex Numbers
MISCELLANEOUS EXERCISE - 3 | Q 4) iii) | पृष्ठ ४३

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