Limit, Continuity and Differentiability: JEE Main 2023 Mathematics question

JEE Main 2023 · 15 Apr, Morning shift · Q28

JEE Main 202315 Apr, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Consider the triangles with vertices

A(2,1), B(0,0)

and

C(t, 4), t \in[0,4]

. If the maximum and the minimum perimeters of such triangles are obtained at

t=\alpha

and

t=\beta

respectively, then

6 \alpha+21 \beta

is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.

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