Which of the following equation represent circles? (i) 9x`^2` + 9y`^2` + 12x + 18y + 1 = 0

Which of the following equation represent circles? (ii) x ^2 + 4y ^2 + 2x + 12y + 6 = 0

Which of the following equation represent circles? (iv) x ^2 + y ^2 + 4x + 16y + 59 = 0

Which of the following equation represent circles? (iii) x ^2 + y ^2 + 2x + 4y + 6xy + 8 = 0

Does each of the following equation represent a circle? If so, find the centre and radius of the circle. (i) x ^2 + y ^2 + 2x + 4y - 45 = 0

Does each of the following equation represent a circle? If so, find the centre and radius of the circle. (ii) x ^2 + y ^2 - 4x + 5 = 0

Does each of the following equation represent a circle? If so, find the centre and radius of the circle. (iii) 2x ^2 + y ^2 - 6x -8y - 11 = 0

The following equations have equal roots find k in each equation. 9x^2 + 8kx + 16 = 0 .

Find the equation of the circle concentric with the circle x ^2 + y ^2 - 8x + 12y + 15 = 0 and passing through the point (5, 4).

Show that x + y = 1 is the equation of the line of a diameter of the circle x ^2 + y ^2 - 4x + 2y + 1 = 0

Solve the following quadratic equation: 9x^2+4=0