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Find the Cartesian equation of the circle whose parametric equations are x = 3 cos θ, y = 3 sin θ, 0 ≤ θ ≤ 2π. - Business Mathematics and Statistics

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प्रश्न

Find the Cartesian equation of the circle whose parametric equations are x = 3 cos θ, y = 3 sin θ, 0 ≤ θ ≤ 2π.

योग

उत्तर

Given x = 3 cos θ, y = 3 sin θ

Now x2 + y2 = 9 cos2θ + 9 sin2θ

x2 + y2 = 9 (cos2θ + sin2θ)

x2 + y2 = 9 which is the Cartesian equation of the required circle.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Analytical Geometry - Exercise 3.4 [पृष्ठ ६४]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
अध्याय 3 Analytical Geometry
Exercise 3.4 | Q 9 | पृष्ठ ६४
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