The general equation of a circle is given as (x-h)² + (y-k)² = r². The equation of a line that is tangent to circle A from point C (1, 3) is y=3.
What is the equation of the circle with radius r units, centred at (x,y)?
If a circle O has a radius of r units length and it has got its centre positioned at (h, k) point of the coordinate plane, then, its equation is given as:
(x-h)² + (y-k)² = r²
The problem can be solved by plotting the circle on the graph, and the plotting the lines on the graph.
The equation of the circle with centre at (6,5) and radius of 2 units, will be equal to,
(x-6)² + (y-5)² = 2²
As it can be seen below, the equation of a line that is tangent to circle A from point C (1, 3) is y=3(black line).
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