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

Algebra ->  Finance -> 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      Log On


   



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) About Me  (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