Question

2
.
3
.
If the segment DE with D(-2,7) and E(-2,-5)
is divided internally by point T in the ratio
1:3, then find the coordinates of point T.
​

Answer 1

Answer:

T(-2,4)

Step-by-step explanation:

Let the coordinates of point T be (x,y).

m:n = 1:3

x = [1×(-2) + 3×(-2)]/(1+3)

= [(-2) + (-6)]/4

= (-8)/4

= (-2)

y = [1×(-5) + 3×(7)]/(1+3)

= [(-5) + 21]/4

= 16/4

= 4

So, coordinates of T is T(-2,4).