🛠️ JEE➗ Maths

The slope of tangent at any point \((x, y)\) on a curve \(y=y(x)\) is \(\frac{x^2+y^2}{2 x y}, x>0 x>0\). If \(y(2…

Q1

The slope of tangent at any point \((x, y)\) on a curve \(y=y(x)\) is \(\frac{x^2+y^2}{2 x y}, x>0 x>0\). If \(y(2)=0\), then a value of \(y(8)\) is

[JEE Main 2023, 10 Apr (Shift 1)]

a

\(-2 \sqrt{3}\)

b

\(4 \sqrt{3}\)

c

\(2 \sqrt{3}\)

d

\(-4 \sqrt{2}\)

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