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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