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Find the Equation of the Circle With: Centre (A, B) and Radius √ a 2 + B 2

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Question

Find the equation of the circle with:

Centre (ab) and radius\[\sqrt{a^2 + b^2}\]

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Solution

Here, h = ab and radius = \[\sqrt{a^2 + b^2}\]

∴ Required equation of the circle:

\[\left( x - a \right)^2 + \left( y - b \right)^2 = a^2 + b^2\]
\[\Rightarrow x^2 + y^2 - 2ax - 2by = 0\]
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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 1.2 | Page 21

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