Q9 of 319 Page 23

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.


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