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.

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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