Ex 5.6, 6 - Find dy/dx, x = a (theta - sin), y = a (1 + cos) - Ex 5.6

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  1. Chapter 5 Class 12 Continuity and Differentiability
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Ex 5.6, 6 If x and y are connected parametrically by the equations without eliminating the parameter, Find ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ, ๐‘ฅ = ๐‘Ž (๐œƒ โ€“ sinโก๐œƒ), ๐‘ฆ = ๐‘Ž (1 + cosโก๐œƒ) ๐‘ฅ = ๐‘Ž ๐œƒ โ€“ sin๏ทฎ๐œƒ๏ทฏ๏ทฏ , ๐‘ฆ = ๐‘Ž (1+cosโก๐œƒ) ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ = ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ ร— ๐‘‘๐œƒ๏ทฎ๐‘‘๐œƒ๏ทฏ ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ = ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐œƒ๏ทฏ ร— ๐‘‘๐œƒ๏ทฎ๐‘‘๐‘ฅ๏ทฏ ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐‘ฅ๏ทฏ = ๐‘‘๐‘ฆ๏ทฎ๐‘‘๐œƒ๏ทฏ๏ทฎ ๐‘‘๐‘ฅ๏ทฎ๐‘‘๐œƒ๏ทฏ๏ทฏ

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