Question

If the ratio of the distance from P to A (5, -1) and B (7, 6) is 2:3 then in the locus of P, 3AP = ___ ​

Answer 1

Step-by-step explanation:

let p(x.y) be a point in locus

The given point are A(5-1)

and B(7,6)and given that pA:pB=2:3 therefore we have.

PA/PB= 2/3

3 PA=2PA

9PA^=4PA^

NOW Applying the distance formula to the given point A(5-1) and B(7,6)

hence, the equation of locus of p is

5x^+5y^-34x+120y+29=0

Answer 2

$\mathbb{ \ \ A\ N\ S\ W\ E\ R\: \: }$

If the ratio of the distance from P to A (5, -1) and B (7, 6) is 2:3 then in the locus of P, 3AP = 00