how due to high degree of price differentiation AR curve under monopolistic curve is more elastic than monopoly curve

It is not due to high degree of price differentiation that AR curve is more elastic under monopolistic market segment. It is basically due to presence of more close substitutes in monopolistic market compared to monopoly market that AR curve in the former market segment is more elastic. 

Please cross-check your question and get back to us again. However, if you think that I have interpreted your question correctly, then follow the link below and scroll down to the topic- Price Maker and Downward Sloping Demand Curve.
https://www.meritnation.com/cbse/class12-commerce/studymaterial/economics/introductory-microeconomics/non-competitive-markets/338_1985_5826#slide2_monopolistic-competition-and-short-run-and-long-run-equilibrium
 

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