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Circle A is located at (6, 5) and has a radius of 4 units. What is the equation of a line that is tangent to circle A from point C (2, 8)?

x = 2
y = −0.75x + 9.5
y = 1.33x + 1.66
x = 8

Sagot :

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Answer:

x=2

Step-by-step explanation:

got it right on the test i promise

The equation of the line that is tangent to circle A from point C (2, 8) is x = 2 option (A) x = 2 is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

Circle A is located at (6, 5) and has a radius of 4 units.

First, find the slope of the radius

As we know, the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The line passes through (2, 8) and (2, 5)

y - 5 = (-3/0)(x -2)

-x + 2 = 0

x = 2

Thus, the equation of the line that is tangent to circle A from point C (2, 8) is x = 2 option (A) x = 2 is correct.

Learn more about circle here:

brainly.com/question/11833983

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