NVAMediumJEE Main 2023 · 10 April, Shift 2Applications of Derivatives (Monotonicity, Extrema)

Mathematics Question from JEE Main 2023 · 10 April, Shift 2

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

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