Q9 of 70 Page 241

In each of the following, find the centre and radius of the circles.

2x2 + 2y2 – x = 0

The equation of the given of the circle 2x2 + 2y2 –x =0.


2x2 + 2y2 –x =0


(2x2 + x) +2y2 =0


2 = 0


+ y2 -= 0


+(y-0)2 =, which is of the form (x-h)2 + (y-k)2 =r2,


Where, h= , k = 0, and r=


Thus, the centre of the given circle is, while its radius is .


More from this chapter

All 70 →
7

In each of the following, find the centre and radius of the circles.

x2 + y2 – 4x – 8y – 45 = 0

 8

In each of the following, find the centre and radius of the circles.

x2 + y2 – 8x + 10y – 12 = 0

 10

Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x + y = 16.

 11

Find the equation of the circle passing through the points (2,3) and (–1,1) and whose centre is on the line x – 3y – 11 = 0.