Q. 194.2( 5 Votes )

The line through (h, 3) and (4, 1) intersects the line 7x – 9y – 19 = 0 at right angle. Find the value of h.

Answer :

Given: A (h,3) and B (4,1) be the points intersect At right angle at the line 7x – 9y – 19 = 0


To find:


The value of h.


Explanation:


The line 7x 9y 19 = 0 can be written as



So, the slope of this line is


It is given that the line joining the points A (h,3) and B (4,1) is perpendicular to the line 7x 9y 19 = 0.



9h – 36 = -14


9h = 22


h


Hence, the value of h is


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