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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Write the parametric equations of the circle: (x − 3)2 + (y + 4)2 = 25 - Mathematics and Statistics

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प्रश्न

Write the parametric equations of the circle:

(x − 3)2 + (y + 4)2 = 25

बेरीज

उत्तर

The equation of the circle is

(x − 3)2 + (y + 4)2 = 25

Comparing this equation with (x – h)2 + (y – k)2 = r2,

we get, h = 3, k = – 4 and r = 5

∴ the parametric representation of the circle is

x = h + r cos θ, y = k + r sin θ

i.e., x = 3 + 5 cos θ, y = – 4 + 5 sin θ.

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Parametric Form of a Circle
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Circle - Exercise 6.3 [पृष्ठ १३५]

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