locus (1 Viewer)

[pLuvia]

A,B are two points (-3,0) and (3,0) repectively. Find the equation of the locus of p(x,y) in each of the following where p moves so that Tan pa^b x ten pb^a=1 (hint: if p(x,y) s taken in the positive qudrant, then tan pb^a=-the slope of PB. why?)

 

[klaw]

what is Tan pa^b x ten pb^a=1?

And are there supposed to be further parts to it? It says "find in each of the following" but there are no following questions

 

[AFGHAN22]

A,B are the points (-3,0) and (3,0) respectively. Find the equation of the locus of P(x,y) in each of the following where P moves so that Tan PA^B x tan PB^A=1 (Hint: If P (x,y) is taken in the positive quadrant then tan PB^A = - slope of PB. why?)

 

[klaw]

tanA=y\(x+3)
tanB=y\(3-x)
tanAtanB=1
y²\(x+3)(3-x)=1
y²=x²-9
y=sqrt(x²-9)