and 
are two roads enclosing an angle of 
and 
start from ' 
' at the same time. 
travels along 
with a speed of 
and 
travels along 
with a speed of 
hour. The rate at which the shortest distance between 
and 
is increasing after 1 hour is
Text Solution
Verified by ExpertsA
: Distance covered by 
after time 
Similarly by 
after time 
Let shortest distance between 
and 
(By cosine law)
after 
is 
Now differentiating w.r.t. 
we get 
. After 
Rate at which shortest distance 
changes with time 
.
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