NVAMediumJEE Main 2023 · 15 April, Shift 1Applications of Derivatives (Monotonicity, Extrema)

Mathematics Question from JEE Main 2023 · 15 April, Shift 1

Consider the triangles with vertices A(2,1)A(2,1), B(0,0)B(0,0) and C(t,4)C(t,4), where t[0,4]t\in[0,4]. If the maximum and the minimum perimeters of such triangles are obtained at t=αt=\alpha and t=βt=\beta respectively, then 6α+21β6\alpha+21\beta is equal to

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