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Find a and b if a + 2b + 2ai = 4 + 6i - Mathematics and Statistics

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प्रश्न

Find a and b if a + 2b + 2ai = 4 + 6i

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उत्तर

a + 2b + 2ai = 4 + 6i

Equating real and imaginary parts, we get

a + 2b = 4 …(i)

2a = 6 …(ii)

∴ a = 3

Substituting, a = 3 in (i), we get

3 + 2b = 4

∴ b = `1/2`

∴ a = 3 and b = `1/2`

For a = 3 and b = `1/2`

Consider L.H.S. = a + 2b + 2ai

= `3 + 2(1/2) + 2(3)i`

= 4 + 6i

= R.H.S.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Complex Numbers - Exercise 1.1 [पृष्ठ ६]

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