Straight-line-lx-my-1-is-tangent-to-the-curve-ax-n-by-n-1-Prove-that-l-a-n-n-1-m-b-n-n-1-1-

Question Number 142218 by Dwaipayan Shikari last updated on 27/May/21

$${Straight}\:{line}\:{lx}+{my}=\mathrm{1}\:\:{is}\:{tangent}\:{to}\:{the}\:{curve}\:\left({ax}\right)^{{n}} +\left({by}\right)^{{n}} =\mathrm{1} \\ $$$${Prove}\:{that}\:\left(\frac{{l}}{{a}}\right)^{\frac{{n}}{{n}−\mathrm{1}}} +\left(\frac{{m}}{{b}}\right)^{\frac{{n}}{{n}−\mathrm{1}}} =\mathrm{1} \\ $$

Answered by som(math1967) last updated on 28/May/21

Commented by Dwaipayan Shikari last updated on 28/May/21

$${Thanks}\:{sir}\:!\:{I}\:{have}\:{done}\:{this}\:{in}\:{a}\:{same}\:{way} \\ $$

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