Given the two points (3,6) and (-2,5), determine the slope of the line.
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Answer:
x =8 is the equation of the tangent.
Step-by-step explanation:
Here the equation of the given circle is:
Now, comparing it with the general equation of circle:
we get the central coordinates (h,k) = (3,-2)
So, the slope of the line joining center and (8, -2) =
Since the slope of line = 0, line is parallel to x axis.
Now, as tangent and the line is perpendicular to each other
⇒Slope of the tangent = -1/ slope of the line =
Now, by point slope formula: the equation of the tangent is
(y-y0) = m (x-x0)
or,
or x =8 is the equation of the tangent.