In what ratio is the line joining the points (2, 3) and (4, -5) divided by the line passing through the points (6, 8) and (- 3, -2).
Given: the equation of the line joining the points (6, 8) and (-3, -2) is
To find: In what ratio line joining the points divided by a line.
Assuming: 10x – 9y +12 = 0 divide the line joining the points (2, 3) and (4, 5) at points P in the ratio k : 1
Explanation:
Formula used:
⇒
⇒ 10x – 9y +12 = 0
P
P lies on the 10x – 9y +12 = 0
Therefore,
⇒ 40k + 20 + 45k – 27 +12k + 12 = 0
⇒ 97k + 5 = 0
⇒ K
Hence, the joining the points (2, 3) and (4, 5) is divided by the line passing through the points (6, 8) and (-3, -2) in the ratio 5: 97 externally.