मराठी

Find the Coordinates of the Centre and Radius of Each of the Following Circles: X2 + Y2 − Ax − by = 0

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प्रश्न

Find the coordinates of the centre and radius of each of the following circles:  x2 y2 − ax − by = 0

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उत्तर

The given equation can be rewritten as

\[x^2 + y^2 - \frac{2ax}{2} - \frac{2by}{2} = 0\]

∴ Centre = \[\left( \frac{a}{2}, \frac{b}{2} \right)\]

And, radius =\[\sqrt{\left( \frac{a}{2} \right)^2 + \left( \frac{b}{2} \right)^2} = \frac{1}{2}\sqrt{a^2 + b^2}\]

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Advanced Concept of Circle - Standard Equation of a Circle
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 24: The circle - Exercise 24.2 [पृष्ठ ३१]

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आर.डी. शर्मा Mathematics [English] Class 11
पाठ 24 The circle
Exercise 24.2 | Q 1.4 | पृष्ठ ३१

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