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Explain solution RD Sharma class 12 Chapter 17 Maxmima and Minima Exercise Case Study Questions question 7 subquestion (i)

Answers (1)

Answer: 120-\sqrt{x^{2}-25600}

Hint: use distance formula.

Solution:

\mathrm{GA}=\mathrm{GB}=\mathrm{x}

Let G be the position of the godown at a distance x each from A and B

\begin{aligned} &C D=\sqrt{200^{2}-160^{2}} \\ \end{aligned}

\quad=120 \\

G D=\sqrt{x^{2}-160^{2}} \\

\therefore G C=D C-D G

\begin{aligned} &=120 - \sqrt{x^{2}-160^{2}} \\ & \end{aligned}

=120-\sqrt{x^{2}-25600}

 

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