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Continuity And Differentiability

Question
CBSEENMA12035017

Find space dy over dx space when space straight x space equals straight a space cosө comma space straight y space equals straight b space cosө space

Solution
space space space space space space space space space space straight x space equals straight a space cosө comma space straight y space equals straight b space cosө
therefore space dx over dθ equals negative straight a space sinθ comma space dy over dθ equals negative straight b space sinθ
Now space dy over dx equals fraction numerator begin display style dy over dθ end style over denominator begin display style dx over dθ end style end fraction equals fraction numerator negative straight b space sinθ over denominator negative straight a space sinθ end fraction equals straight b over straight a

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