Q. 104.5( 43 Votes )

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

Answer :

Let the slope of the line passing through (h, 3) and (4, 1) be m1


Then,


Let the slope of line 7x – 9y – 19 = 0 be m2


7x – 9y – 19 = 0



m2 = 7/9


Since, the given lines are perpendicular


Therefore, m1 × m2 = -1




-14 = -1 × (36 – 9h)


36 – 9h = 14


9h = 36 – 14


h = 22/9


h = 22/9

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