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MathsMediumMCQ2021 ยท 31 Aug Shift 2

Q63.If ๐‘ง is a complex number such that is purely imaginary, then the minimum value of |๐‘ง- ( 3 + 3 ๐‘–) | is : ๐‘ง- 1 (1) 3โˆš2 (2) 2โˆš2 (3) 2โˆš2 - 1 (4) 6โˆš2

What This Question Tests

The question requires finding the locus of z based on the purely imaginary condition, identifying it as a circle, and then calculating the minimum distance from a given point to this circle.

Concepts Tested

Purely imaginary complex numbersGeometric interpretation of complex numbersEquation of a circleMinimum distance from a point to a circle

Formulas Used

If w is purely imaginary, Re(w) = 0

|z - zโ‚€| = r (equation of a circle)

Distance formula

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