# In what ratio is

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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