Can the section formula be used for external division?

Question : In what ratio does the point T(3,0) divide the segment joining the points S(4,–2) and U(1, 4)?

Option 1: $2:1$

Option 2: $1:2$

Option 3: $2:3$

Option 4: $3:2$

Question : In what ratio does the point T (X, 0) divide the segment joining the points S (–4, –1) and U (1, 4)?

Option 1: 1 : 4

Option 2: 4 : 1

Option 3: 1 : 2

Option 4: 2 : 1

Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct?
+ and –, 6 and 3

Option 1: 8 – 3 × 4 ÷ 6 + 9 = 18

Option 2: 8 + 4 × 6 ÷ 3 – 9 = 15

Option 3: 9 ÷ 3 × 4 – 6 + 7 = 10

Option 4: 6 ÷ 2 × 8 + 3 – 1 = 20