In what ratio the line joining (2,-1) and (6,1) is divided by the perpendicular drawn from the point (4,1) to the connector?
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In what ratio the line joining (2,-1) and (6,1) is divided by the perpendicular drawn from the point (4,1) to the connector?
Let's name the points as A(2,-1),B(4,1),C(6,5)
D be foot of perpendicular from B on AC.
We can solve this problem by finding point D by finding slope of BD and and take ratio of distance AD/CD.
I ll do it other way around for simplicity. Assume the required ratio as u:1. Write D in terms of u and find slope of BD and AC and multiply them. Here is the solution.
Now equate it to -1.
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