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Application of Derivatives question

2024 · 5 Apr · Shift 2 · Q53

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JEE Main
Mathematics
Application of Derivatives
2024 · 5 Apr · Shift 2 · Q53

Application of Derivatives question

2024 · 5 Apr · Shift 2 · Q53

JEE MainMathematicsApplication of DerivativesNumerical+4 / −1

Let the maximum and minimum values of

\left(\sqrt{8 x-x^2-12}-4\right)^2+(x-7)^2, x \in \mathbf{R}

be

\mathrm{M}

and

\mathrm{m}

, respectively. Then

\mathrm{M}^2-\mathrm{m}^2

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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