Let quadratic curve passing through the point \((-1,0)\) and touching the line \(y=x\) at \((1,1)\) be \(\mathrm{y}=f(x)\). Then the \(x\)-intercept of the normal to the curve at the point \((\alpha, \alpha+1)\) in the first quadrant is.........

[JEE Main 2023, 10 Apr (Shift 2)]

Question

Let quadratic curve passing through the point \((-1,0)\) and touching the line \(y=x\) at \((1,1)\) be \(\mathrm{y}=f(x)\). Then the \(x\)-intercept of the normal to the curve at the point \((\alpha, \alpha+1)\) in the first quadrant is.........

[JEE Main 2023, 10 Apr (Shift 2)]

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Let quadratic curve passing through the point \((-1,0)\) and touching the line \(y=x\) at \((1,1)\) be \(\mathrm{y}=f(x)…

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