# Centre of a circle

1. Sep 30, 2010

### zorro

1. The problem statement, all variables and given/known data
Find the centre of the circle which passes through the points (1,-2) and (4,-3) whose centre lies on the line 3x + 4y = 7

2. Relevant equations

3. The attempt at a solution

distance from the centre of the circle to the given points is equal
by distance formula and simplifying,
I got 3x-2y=10

On Solving 3x + 4y= 7 and 3x - 2y= 10
I got the point (3,-1/2) as the centre of the circle.

2. Sep 30, 2010

### betel

I get as a second equation
$$3x -y=10$$

3. Sep 30, 2010

### zorro

Damn! such a silly mistake
Thanks mate.