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Maths-

General

Easy

Question

If $left parenthesis fraction numerator 2 plus blank s i n blank x over denominator 1 plus y end fraction right parenthesis fraction numerator d y over denominator d x end fraction equals negative blank c o s blank x comma$ $y left parenthesis 0 right parenthesis equals 1$ , then $y left parenthesis fraction numerator pi over denominator 2 end fraction right parenthesis equals$

1
$\frac{1}{2}$
$\frac{1}{3}$
$\frac{1}{4}$

The correct answer is: $fraction numerator 1 over denominator 3 end fraction$

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