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Question Number 40826 by behi83417@gmail.com last updated on 28/Jul/18

	Answered by tanmay.chaudhury50@gmail.com last updated on 28/Jul/18

	$A (a, a) B (α, β)$ $m i d p o i n t A B (\frac{a + α}{2}, \frac{a + β}{2})$ $h = \frac{a + α}{2} k = \frac{a + β}{2}$ $α = 2 h - a β == 2 k - a$ ${(2 h - a)}^{\frac{2}{3}} + {(2 k - a)}^{\frac{2}{3}} = a^{\frac{2}{3}}$ $h e n c e l o c u s i s$ ${(2 x - a)}^{\frac{2}{3}} + {(2 y - a)}^{\frac{2}{3}} = a^{\frac{2}{3}}$
	Commented by behi83417@gmail.com last updated on 28/Jul/18

	$t h a n k y o u s i r t a n m a y . b u t m i d p o i n t$ $o f A B, n o t l o c a t e d o n c o r v e .$
	Commented by tanmay.chaudhury50@gmail.com last updated on 28/Jul/18

	$p o i n t (h, k) i s t h e m i d p o i n t . . . b u t i h a v e n o t p u t$ $t h e m o n t h e c u r v e . . .$ $(α, β) p o i n t l i e s o n t h e c u r v e t h a t i s p o i n t B$ $s o h = \frac{a + α}{2} α = 2 h - a β = 2 k - a$ $n o w i c a n p u t t h e m i n c u r v e . . .$
	Commented by behi83417@gmail.com last updated on 28/Jul/18

	$o k . t h a n k s .$
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