Q

Find the centre and radius of the circles. 2 x ^2 + 2y ^ 2 - x = 0

9. Find the centre and radius of the circles.

$2x^2 + 2y^2 - x = 0$

Views

As we know,

The equation of the circle with centre ( h, k) and radius r is given by ;

$(x-h)^2+(y-k)^2=r^2$

Given here

$2x^2 + 2y^2 - x = 0$

Can also be written in the form

$\left ( x-\frac{1}{4}\right )^2 + \left ( y-0 \right )^2 = \left ( \frac{1}{4} \right )^2$

So, from comparing, we can see that

$r=\frac{1}{4}$

Hence Center of the circle is the $\left ( \frac{1}{4},0\right )$Radius of the circle is   $\frac{1}{4}$.

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