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If a + ib = c + id, then ______. - Mathematics

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प्रश्न

If a + ib = c + id, then ______.

विकल्प

  • a2 + c2 = 0

  • b2 + c2 = 0

  • b2 + d2 = 0

  • a2 + b2 = c2 + d2

MCQ
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उत्तर

If a + ib = c + id, then a2 + b2 = c2 + d2.

Explanation:

Given that: a + ib = c + id

⇒ |a + ib| = |c + id|

⇒ `sqrt(a^2 + b^2) = sqrt(c^2 + d^2)`

Squaring both sides, we get

a2 + b2 = c2 + d

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अध्याय 5: Complex Numbers and Quadratic Equations - Exercise [पृष्ठ ९६]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 5 Complex Numbers and Quadratic Equations
Exercise | Q 44 | पृष्ठ ९६

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