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| 1. |
Determine whether x + y – 1 = 0 is the equation of a diameter of the circle x 2 + y2 – 6x + 4y + c = 0 for all possible values of c |
| Answer» the centre of the circle x2+y2-6x+4y+c=0 is C:(3,-2). Now the coordinate of centre C is satisfying the line x+y-1=0, or we say the line passes through centre C. so we can call x+y-1=0 as an equation of diameter. | |