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


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

$S t r a i g h t l i n e l x + m y = 1 i s t a n g e n t t o t h e c u r v e {(a x)}^{n} + {(b y)}^{n} = 1$ $P r o v e t h a t {(\frac{l}{a})}^{\frac{n}{n - 1}} + {(\frac{m}{b})}^{\frac{n}{n - 1}} = 1$
	Answered by som(math1967) last updated on 28/May/21

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

	$T h a n k s s i r! I h a v e d o n e t h i s i n a s a m e w a y$
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