हिंदी

Express the following in the form of a + ib, a, b ∈ R, i = -1. State the values of a and b: (1 + 2i)(– 2 + i) - Mathematics and Statistics

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प्रश्न

Express the following in the form of a + ib, a, b ∈ R, i = -1. State the values  of a and b:

(1 + 2i)(– 2 + i)

योग

उत्तर

(1 + 2i)(– 2 + i) = – 2 + i – 4i + 2i2

= – 2 – 3i + 2( – 1)     ...[∵ i2 = – 1]

∴ (1 + 2i)(– 2 + i) = – 4 – 3i

∴ a =  – 4 and b = – 3

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Conjugate of a Complex Number
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Complex Numbers - EXERCISE 3.1 [पृष्ठ ३७]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 3 Complex Numbers
EXERCISE 3.1 | Q 2) i) | पृष्ठ ३७
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