Straight Lines | iTeachChem | Page 1

vestal zephyr Aug 2, 2025, 10:49 AM

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Alpha im getting 4 abd Beta ke lie t=0 par hi to minimum hoga

north sapphire Aug 3, 2025, 3:33 AM

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indigo dragon Aug 3, 2025, 9:08 AM

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vestal zephyr Alpha im getting 4 abd Beta ke lie t=0 par hi to minimum hoga

(2,1) and (0,0) ka perimeter with (t,4) would be $\sqrt{t^{2}+4}+\sqrt{(t-2)^{2}+9}+\sqrt{5}=\sqrt{t^{2}+4}+\sqrt{t^{2}-4t+13}+\sqrt{5}$, Now derivate that and do maxima-minima thingy?

vivid onyxBOT Aug 3, 2025, 9:08 AM

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SirLancelotDuLac

indigo dragon Aug 3, 2025, 9:10 AM

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Derivating this and setting to zero gets you:
$\frac{t}{\sqrt{t^{2}+4}}+\frac{t-2}{\sqrt{t^{2}-4t+13}}=0$ which gives $t (\sqrt{t^{2}-4t+13}+\sqrt{t^{2}+4})=2\sqrt{t^{2}+4}$

vivid onyxBOT Aug 3, 2025, 9:10 AM

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SirLancelotDuLac

indigo dragon Aug 3, 2025, 9:11 AM

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Wait I'm stuck myself lol.

vestal zephyr Aug 3, 2025, 10:01 AM

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oh okay

karmic tundra Aug 3, 2025, 10:34 AM

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vestal zephyr Alpha im getting 4 abd Beta ke lie t=0 par hi to minimum hoga

vestal zephyr Aug 4, 2025, 8:03 PM

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can y also explain ?

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what have u done

#Straight Lines