Question

Find the coordinates of a point on the line joining A(4, - 6) and B(-12, 10) that is thrice as far from A as

from B.​

Answer 1

Step-by-step explanation:

$Let the coordinates of P be (x, y). Given m:n=2:5</p><p>(x1,y1)=(4,−5) and (x2,y2)=(6,3)</p><p>by section formula, </p><p>x=m+nmx2+nx1=2+52(6)+5(4)=712+20=732</p><p>y=m+nmy2+my1=2+(5)2(3)+5(−5)=76−25=7−19</p><p>∴ Coordinates of P=(732,7−19)</p><p></p><p>$