SOLUTION: P is a point on the line x = 4 such that the tangent from P to the circle x^2 + y^2 = 4 has length 6 . Find the possible coordinates and illustrate graphically Can you please he

Question 795664: P is a point on the line x = 4 such that the tangent from P to the circle x^2 + y^2 = 4 has length 6 . Find the possible coordinates and illustrate graphically
Can you please help me out? Thanks so much in advance :)
Can you also show all the work it would really help me understand better:)
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
This seems to be a possible Calculus, derivative problem. I have not completed this question all the way yet, but my strategy seems to be:

The derivative of the upper branch of the circle's function would be y'=. The general point on this circle, for this tangent line, would be (x, ).

The line x=4 would have a general point, (4,y).

Next in the process is to use the Distance formula between these two general points and equate distance to 6, and then solve for x.
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