Q. 153.7( 3 Votes )

A line perpendicu

Answer :


Given: A line perpendicular to the line segment joining the points (1, 0) and (2, 3) divides it in the ratio 1 : 2.


Formula to be used: If (a,b) and (c,d) are two points then the equation of the line passing through them is


If (a1,b1) and (a2,b2) be two points , then the co - ordinates of the point dividing their join in the ratio a:b is given by




The equation of the line joining points (1,0) and (2,3) is




or,


i.e. the given line is 3x - y = 3.


Accordingly, the required co - ordinates of the point dividing the join of (1,0) and (2,3) in the ratio 1:2 are



The given line is 3x - y = 3.


The slope of this line is .


the slope of the perpendicular line =


The equation of the line can be written in the form


(c is the y - intercept)


This line will pass through .



The required equation is


i.e. 3x + 9y = 13


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