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MathsMediumMCQ2019 · 09 Jan Shift 1

Q62.Let 𝐴= 𝜃∈- 𝜋 𝜋: 3 + 2𝑖 sin𝜃 is purely imaginary . Then the sum of the elements in 𝐴 is: 2, 1 - 2𝑖 sin𝜃 5𝜋 (1) (2) π 6 (3) 2𝜋 (4) 3𝜋 3 4

What This Question Tests

This question tests the understanding of purely imaginary complex numbers, requiring simplification of a complex expression and solving a trigonometric equation for angles within a given range.

Concepts Tested

Complex number propertiesPurely imaginary numbersTrigonometric equationsSet theory

Formulas Used

z = x + iy

Purely imaginary means x = 0

tanθ = sinθ/cosθ

📚 NCERT Sections This Tests

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