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The equation of the circle which passes through the point (4, 5) and has its centre at (2, 2) is ______.

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Question

The equation of the circle which passes through the point (4, 5) and has its centre at (2, 2) is ______.

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Solution

The equation of the circle which passes through the point (4, 5) and has its centre at (2, 2) is (x – 2)2 + (y – 2)2 = 13.

Explanation:

As the circle is passing through the point (4, 5) and its centre is (2, 2)

So its radius is `sqrt((4 - 2)^2 + (5 - 2)^2) = sqrt(13)`

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Chapter 11: Conic Sections - Solved Examples [Page 200]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 11 Conic Sections
Solved Examples | Q 19 | Page 200

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