Q. 224.0( 4 Votes )

Find the projecti

Answer :

Given:


The points (-1, 2) and (5, 4).


To find:


The projection of the point (1, 0) on the line joining the points (-1, 2) and (5, 4).


Explanation:


Let A ( 1, 2) be the given point whose projection is to be evaluated and C ( 1, 2) and D (5, 4) be the other two points.


Also, let M (h, k) be the foot of the perpendicular drawn from A ( 1, 2) to the line joining the points C ( 1, 2) and D (5, 4).


Diagram:



Clearly, the slope of CD and MD are equal.



h – 3k + 7 = 0…….(1)


The lines segments AM and CD are perpendicular.



3h + k – 3 = 0 …….(2)


Solving (1) and (2) by cross multiplication, we get:




Hence, the projection of the point (1, 0) on the line joining the points (-1, 2) and (5, 4) is


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