Q44 of 51 Page 10

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


Let A(h,3) and B(4,1) be the given point.

We have, m1=

Now, for 7x-9y-19=0

M2=

Using tanθ =

For perpendicular lines 1+m1m2= 0

i.e. 1+()()=0

9(4-h)-14=0

36-9h-14=0

9h=22

h=

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