$(x-1)^2 + (y+2)^2 = 9$
$$x^2 - 2x + 1 + y^2 + 4y + 4 = 9$$
$$x^2 + y^2 - 2x + 4y - 4 = 0$$
Verified 30 May 2026.
The equation of the circle with centre $(1, -2)$ and radius $3$ is:
$x^2 + y^2 - 2x + 4y - 4 = 0$
$x^2 + y^2 - 2x + 4y + 4 = 0$
$x^2 + y^2 + 2x - 4y - 4 = 0$
$x^2 + y^2 - 2x - 4y - 4 = 0$
$(x-1)^2 + (y+2)^2 = 9$
$$x^2 - 2x + 1 + y^2 + 4y + 4 = 9$$
$$x^2 + y^2 - 2x + 4y - 4 = 0$$
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The distance between the parallel lines 3x + 4y - 7 = 0 and 3x + 4y + 8 = 0 is:
The distance between the points (3, 4) and (6, 8) is:
The distance between two points (x₁,y₁) and (x₂,y₂) in a plane is:
The distance between the foci of the hyperbola x²/9 - y²/16 = 1 is:
The distance between the points (1, 2) and (4, 6) is: