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Mathematics 8 Online
OpenStudy (anonymous):

(a) Find the equations of the tangent lines to the circle x^2 + y^2 = 25 at the points where x = 4. (Enter your answers as a comma-separated list.) (b) Find the equations of the normal lines to this circle at the same points. (The normal line is perpendicular to the tangent line at that point. Enter your answers as a comma-separated list.) (c) At what point do the two normal lines intersect?

OpenStudy (anonymous):

graph it first, so that it will be easy to understand

OpenStudy (anonymous):

|dw:1382941238698:dw|

OpenStudy (anonymous):

is question a possible?

OpenStudy (anonymous):

I think if x=4, it won't be a tangent to the circle with a radius of 5?

OpenStudy (anonymous):

No it wouldn't be possible because it is intersecting through the circle, right? So it is not tangent.

OpenStudy (anonymous):

yeah right! its not a tangent, maybe its a secant line

OpenStudy (anonymous):

how would i answer this question then?

OpenStudy (anonymous):

just explain it why its not a tangent line, or just immediately say that its not a tangent line

OpenStudy (anonymous):

ok. what do i do for the the second question?

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