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Question Number 18823 by rish@bh last updated on 30/Jul/17

$$\mathrm{If}\mathrm{P}\equiv (2,1)\mathrm{and}\mathrm{A}\mathrm{and}\mathrm{B}\mathrm{lie}\mathrm{on}\mathrm{x}-\mathrm{axis}$$$$\mathrm{and}\mathrm{y}=\mathrm{x}\mathrm{respectively}\mathrm{such}\mathrm{that}$$$$\mathrm{PA}+\mathrm{PB}+\mathrm{AB}\mathrm{is}\mathrm{minimum}\mathrm{find}$$$$\mathrm{A}\mathrm{and}\mathrm{B}.$$

Commented by ajfour last updated on 30/Jul/17

$$\mathrm{just}\mathrm{guessing}\mathrm{only}.$$

Commented by ajfour last updated on 30/Jul/17

$$\mathrm{A}\equiv (5-2\sqrt{3},0)$$$$\mathrm{B}\equiv (\frac{7-3\sqrt{3}}{2},\frac{7-3\sqrt{3}}{2})$$

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