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anonymous
 one year ago
A point P moves so that the slope of AP is half that of BP. Where A is (0,0) and B is (0,6). Find the equation of the locus.
anonymous
 one year ago
A point P moves so that the slope of AP is half that of BP. Where A is (0,0) and B is (0,6). Find the equation of the locus.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0why is the point moving..lol..??

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1let P be the point (x,y) if A is (0,0) what is the slope of line AP ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443232316357:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1we'll stick with y/x what is the slope of BP ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443232412944:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1`the slope of AP is half that of BP` so \[\Large \text{slope of AP} = \frac{1}{2}\times\text{slope of BP}\] \[\Large \frac{y}{x}= \frac{1}{2}\times\frac{y+6}{x}\] solve for y

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1surjithayer I'm not sure why you squared both sides

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443232684745:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yep y = 6 is your answer

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1any point along the horizontal line y = 6 will work as long as x is not 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but y was the point moving ..lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0o thats not really a question... im just curious ...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0y=2 is not working.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1surjithayer like I said, I'm not sure why you squared both sides. You introduced an extraneous solution

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the point moves to create the entire line

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1imagine you had this locus: the set of all points equidistant from a fixed point that's a circle. The moving point P would circle around the center. As the point moves, it creates the locus

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i was thinking of absolute slope but i was wrong.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the locus is like the radius

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1in this case, the locus is the entire line generated by every point that makes up the line

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1each point P on this line satisfies the condition that slope of AP = (1/2)*(slope of BP)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1try a few points out like P = (2,6) or P = (7,6)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0like this dw:1443233581868:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1if P were (2,6), what's the slope of AP ?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.0since A and B have the same xvalue, you can see the locus should be a horizontal line at double the vertical distance of AtoB, makes sense, in that case, both have the same change in x, and the change in y is always double for B compared to A

DanJS
 one year ago
Best ResponseYou've already chosen the best response.0What is the relationship between the rate of change of one of the angles w.r.t. time and the rate of change of the position of P

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0o sorry i fall asleep

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i review and its more clear thanks guys
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