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MathsMediumMCQ2023 · 08 Apr Shift 2

Q62.Let A = {θ ∈(0, 2π) : 1+2i1−i sinsinθθ is purely imaginary} Then the sum of the elements is in A is (1) 4π (2) 3π (3) π (4) 2π

What This Question Tests

This question tests the understanding of complex number properties, specifically the condition for a complex number to be purely imaginary, and solving the resulting trigonometric equation.

Concepts Tested

Complex number operationsPurely imaginary conditionTrigonometric equations

Formulas Used

z = x + iy

If z is purely imaginary, x = 0

📚 NCERT Sections This Tests

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