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Question-149462




Question Number 149462 by liberty last updated on 05/Aug/21
Answered by Olaf_Thorendsen last updated on 05/Aug/21
A(−3,0) B(1,−1) C(0,3) D(−1,3)  (AC) : y = x+3  (BD) : y = −2x+1  P = (AC)∩(BD) = (−(2/3),(7/3))  P = (∣PA∣+∣PB∣+∣PC∣+∣PD∣)_(min)
$$\mathrm{A}\left(−\mathrm{3},\mathrm{0}\right)\:\mathrm{B}\left(\mathrm{1},−\mathrm{1}\right)\:\mathrm{C}\left(\mathrm{0},\mathrm{3}\right)\:\mathrm{D}\left(−\mathrm{1},\mathrm{3}\right) \\ $$$$\left(\mathrm{AC}\right)\::\:{y}\:=\:{x}+\mathrm{3} \\ $$$$\left(\mathrm{BD}\right)\::\:{y}\:=\:−\mathrm{2}{x}+\mathrm{1} \\ $$$$\mathrm{P}\:=\:\left(\mathrm{AC}\right)\cap\left(\mathrm{BD}\right)\:=\:\left(−\frac{\mathrm{2}}{\mathrm{3}},\frac{\mathrm{7}}{\mathrm{3}}\right) \\ $$$$\mathrm{P}\:=\:\left(\mid\mathrm{PA}\mid+\mid\mathrm{PB}\mid+\mid\mathrm{PC}\mid+\mid\mathrm{PD}\mid\right)_{{min}} \\ $$
Commented by mr W last updated on 06/Aug/21
can we prove it sir?
$${can}\:{we}\:{prove}\:{it}\:{sir}? \\ $$

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