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

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

बेरीज

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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पाठ 3: Analytical Geometry - Exercise 3.4 [पृष्ठ ६४]

पाठ 3 Analytical Geometry
Exercise 3.4 | Q 9 | पृष्ठ ६४

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