another locus question (1 Viewer)

[ek102]

Given two points A(3,-2) and B(-1,7), find the equation of the locus of P(x,y) if the gradient of PA is twice the gradient of PB. Im unsure on how to solve this question.

 

[InteGrand]

Given two points A(3,-2) and B(-1,7), find the equation of the locus of P(x,y) if the gradient of PA is twice the gradient of PB. Im unsure on how to solve this question.

Find expressions involving x and y for the slopes (gradients) of PA and PB using the gradient formula. Then, equate the expression for the slope of PA to 2 times the expression for the slope of PB, and rearrange and simplify.

 

[ek102]

thank you

 

[Drongoski]

Did this in some hurry; may well have mistakes.

You should get something like:



and eventually:



a hyperbola with horizontal asymptote y =16 and vertical asymptote x = 7.

 

[gwc]

Did this in some hurry; may well have mistakes.

You should get something like:



and eventually:



a hyperbola with horizontal asymptote y =16 and vertical asymptote x = 7.

Hi, this is completely unrelated to the question, but I was wondering how you got that formatting where you have actual fractions not use (8x19)/(x-7). Does advanced formatting for these posts have this function, do you use a website or ....? I'm sorry if it's a silly question.

 

[pikachu975]

Hi, this is completely unrelated to the question, but I was wondering how you got that formatting where you have actual fractions not use (8x19)/(x-7). Does advanced formatting for these posts have this function, do you use a website or ....? I'm sorry if it's a silly question.

Latex, there's a sticky post about it in the maths forum.

 

[gwc]

Latex, there's a sticky post about it in the maths forum.

cool thanks!