Find centre and radius of the following circles x2 + y2 – x + 2y – 3 = 0 - Mathematics

Find centre and radius of the following circles

x² + y² – x + 2y – 3 = 0

योग

2g = – 1

2f = 2

c = – 3

g = `(-1)/2` f = 1

Centre (– g, – f) = `(1/2, -1)`

Radius = `sqrt(g^2 + f^2 - "c")`

= `sqrt(1/4 + 1 + 3)`

`sqrt(1 + 4 + 12/4)`

`sqrt(17/4) = sqrt(17)/2`

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Circles

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अध्याय 5: Two Dimensional Analytical Geometry-II - Exercise 5.1 [पृष्ठ १८२]

अध्याय 5 Two Dimensional Analytical Geometry-II
Exercise 5.1 | Q 11. (iii) | पृष्ठ १८२

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