SOLUTION: Find the equation of the line tangent to the circle x2 + y2 = 25 at point (3,4). Use the general equation of the line for your final answer.
Answer: 3x + _____y - _____ = 0
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Question 1118854: Find the equation of the line tangent to the circle x2 + y2 = 25 at point (3,4). Use the general equation of the line for your final answer.
Answer: 3x + _____y - _____ = 0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Circle at the origin, radius 5. The radius to the given point,
, must have the equation
. Since the tangent to a circle at a point must be perpendicular to the radius at that point, the slope of the desired tangent must be
. So use the point-slope form of an equation of a line to derive an equation for a line with the slope
that passes through the point )
John

My calculator said it, I believe it, that settles it

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