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Engineering Mathematics
Complex Variables
GATE 2016
Easy

What are the modulus (r) and argument (θ) of the complex number 3+4i?

  • Ar=√7, θ=tan⁻¹(4/3)
  • Br=√7, θ=tan⁻¹(3/4)
  • Cr=5, θ=tan⁻¹(3/4)
  • r=5, θ=tan⁻¹(4/3)

Explanation

r=√(3²+4²)=5, θ=tan⁻¹(4/3).

Source: GATE CH 2016 (2016)

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