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Express the following in the form of a+i...

Express the following in the form of a+ib
`(2+i)(2-3i)(4-3i)`

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To express the product \((2+i)(2-3i)(4-3i)\) in the form \(a + ib\), we will follow these steps: ### Step 1: Multiply the first two complex numbers We start by multiplying \((2+i)\) and \((2-3i)\). \[ (2+i)(2-3i) = 2 \cdot 2 + 2 \cdot (-3i) + i \cdot 2 + i \cdot (-3i) \] ...
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MAHAVEER PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. Express the following in the form of a+ib (2+3i)/(2-i)

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  2. Express the following in the form of a+ib (1+i)/(2+3i)

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  3. Express the following in the form of a+ib (2+i)(2-3i)(4-3i)

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  4. Express the following in the form of a+ib (2+3i)/(5-4i)+(2-3i)/(5+4i)

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  5. Find the conjugate of i/(3+5i)

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  6. Find the conjugate of (2+3i)(3-4i)

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  7. Find the conjugate of (3+i)/(2+5i)

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  8. Find the modulus of (3+4i)/(12+5i)

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  9. Find the modulus and amplitude of the following complex numbers: sqrt3...

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  10. Find the modulus and amplitude of the following complex numbers: -4i

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  11. Find the modulus and amplitude of the following complex numbers: 1+isq...

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  12. Find the modulus and amplitude of the following complex numbers: -1-i

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  13. Find the additive and multiplicative inverse of -4+5i.

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  14. If z1=7+3i and z2=-7+3i then find the following: z1z2

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  15. If z1=7+3i and z2=-7+3i then find the following: barz1barz2

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  16. If z1=7+3i and z2=-7+3i then find the following: z1barz2

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  17. If z1=7+3i and z2=-7+3i then find the following: z1/z2

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  18. If z1=7+3i and z2=-7+3i then find the following: barz1/barz2

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  19. If x and y are real numbers of such that ((1+i)x-2i)/(3+i)+((2-3i)y+i...

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  20. Find the square root of 7-30sqrt(-2)

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