Q. 2 D4.2( 6 Votes )

Find the centre a

Given that we need to find the centre and radius of the given circle x2 + y2 - x + 2y - 3 = 0.

We know that the standard equation of a circle with centre (a, b) and having radius ‘r’ is given by:

(x - a)2 + (y - b)2 = r2 - - - - - (1)

Let us convert given circle’s equation into the standard form.

x2 + y2 - x + 2y - 3 = 0

- - - - - (2)

Comparing (2) with (1), we get

Centre = (, - 1) and radius =

The centre and radius of the circle is (, - 1) and.

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