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If x and y are connected parametrically by the equations, without eliminating the parameter, find dy/dx. x = a cos θ, y = b cos θ

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प्रश्न

If x and y are connected parametrically by the equations, without eliminating the parameter, find `bb(dy/dx)`.

x = a cos θ, y = b cos θ

योग
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उत्तर

Given,  x = a cos θ and y = b cos θ

Differentiating both sides with respect to θ,

`dx/(dθ)` = −a sin θ

`dy/(dθ)` = −b sin θ

`dy/dx = (dy/(dθ))/(dx/(dθ))`

= `(-b sin θ)/(- a sin θ)`

= `b/a`

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Continuity and Differentiability - Exercise 5.6 [पृष्ठ १८१]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 5 Continuity and Differentiability
Exercise 5.6 | Q 5.6 | पृष्ठ १८१

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