Find the coordinates of a point on the line joining A(4, 6) and B( 12, 10) that is - Maths - Coordinate Geometry

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

Tushar Gupta . · Accepted Answer

A(4,-6)AND B(-12,10)
POINT 'A' IS THRICE TO 'B' SO THE LINE IN A RATIO
3:1
3*-12+1*4= X AND 3*10+1*-6
3+1 3+1
-36+4 = 4X AND 30-6=4Y
-32=4X AND 24=4Y
X= -8 AND Y=6
SO THE COORDINATES ARE (-8,6)

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.