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Find the Equation of the Circle With:Centre (0, −1) and Radius 1.

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Question

Find the equation of the circle with:

Centre (0, −1) and radius 1.

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Solution

 Here, h = 0, = −1 and radius = 1

∴ Required equation of the circle:

\[\left( x - 0 \right)^2 + \left( y + 1 \right)^2 = \left( 1 \right)^2\]
\[\Rightarrow x^2 + y^2 + 2y = 0\]
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Advanced Concept of Circle - Standard Equation of a Circle
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Chapter 24: The circle - Exercise 24.1 [Page 21]

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R.D. Sharma Mathematics [English] Class 11
Chapter 24 The circle
Exercise 24.1 | Q 1.3 | Page 21

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