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Find the Centre and Radius of Each of the Following Circles: (X − 1)2 + Y2 = 4

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Question

Find the centre and radius of each of the following circles:

 (x − 1)2 + y2 = 4

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Solution

Let (h, k) be the centre of a circle with radius a.
Thus, its equation will be

\[\left( x - h \right)^2 + \left( y - k \right)^2 = a^2\]

Given:
(x − 1)2 + y2 = 4

Here, h = 1, k = 0 and a = 2

Thus, the centre is (1, 0) and the radius is 2.

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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 2.1 | Page 21

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