1.

यदि `y=12(1-cost), x=10(t-sint), -(pi)/(2)lt t lt (pi)/(2)` तो `(dy)/(dx)` ज्ञात कीजिए ।

Answer» `y=12(1-cost)`
`rArr" "(dy)/(dx)=12 sint`
`x=10(t-sint)`
`rArr" "(dx)/(dt)=10(1-cost)`
`therefore" "(dy)/(dx)=(dy//dt)/(dx//dt)=(12 sint)/(10(1-cost))`
`=(6)/(5).(2sin.(t)/(2)cos.(t)/(2))/(2sin^(2).(t)/(2))=(6)/(5)cot.(t)/(2)`


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