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The 'parsec' (3.26 light years) is the distance at which an object exhibits an annual

parallax of 1 arcsecond. Although the whole idea is based in the trigonometric tangent

of angles, we can assume a perfectly linear relationship for such small angles.

-- 0.1 arcsecond ==> 3.26/0.1 = 32.6 light years

-- 0.02 arcsecond ==> 3.26/0.02 = 163 light years

Their magnitude has nothing to do with the question you asked. It may be

relevant to the second part of the question from which you copied only the

first part. Thanks for including all of the given data, though.

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Q: Two stars having annual parallax of 0.1 and 0.02 arc seconds respectively.If they appear to have same magnitude. estimate the actual distance of these stars from us?
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