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Find a point on the curve at which the tangent is parallel to the line joining the chord through…

Mathematics20242 marksNumerical
Find a point on the curve $y = (x - 2)^2$ at which the tangent is parallel to the line joining the chord through the points $(2, 0)$ and $(4, 4)$.

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Applications of Derivatives

From ISC 2024 Mathematics Paper 1, question 4(ii).