Examples: Inverse Proportions(Part 1) Video Lecture - Class 8

hello friends this video on direct and
inverse proportion part six is brought
to you by example calm no more to your
calm exam
try to attend some questions before that
let me inform you that there is another
way of this of writing in short that two
quantities are inversely proportional so
if X is directly proportional to R I'll
use this table now if X is inversely
proportional to Y then also we use this
symbol but instead of granting why we
say it is 1 by y that means X is
directly proportional to 1 by Y so 1 by
Y is exactly the inverse of Y so if Y
increases once I will decrease it
therefore X decreases so similarly y
decreases then 1 by Y increases
therefore x increases so this is how we
dependent inverse relationship between
two quantities question number 1 which
of the following are in inverse
proportion the number of workers on a
job and the sign to complete the job so
obviously this is inversely proportional
because as the number of workers
increase the time taken to finish the
paint job decreases the time taken for a
journey and the distance traveled in a
uniform speed so now in a journey if the
distance is not fixed rather if the
speed is uniform then the car is always
moving with the same speed so the more
distances covers the more time it will
be
that's obvious the distance is directly
proportional to x agent so this is not
an inverse proportion
area of cultivated land and the crop
harvested now more land you have both
co-op will get harvested so this will
also a direct relationship so this is
also not inverse proportion question
number two Ramon is making a bean using
force he wants to fix
equal spoke in such a way that the
angles between any pair of consecutive
spokes are equal
helping by completing the following
tables so when you play sports you mean
these kind of noises which divided this
circle into multiple sectors so when you
divide it into four spokes
then the angle between the pair of
consecutive spokes is 90 degree that
means you basically do it with it so
when you divided into four spokes so
this complete answer that is this total
angle is 360 degrees so each angle is
360 by four which is 90 degree so
somewhere like this this is how you
created 4 similarly when you divide it
into six books then each angle becomes
360 divided by 6 which is equal to 60
degrees so it becomes somewhat like this
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so each angle is 60 now when you divide
it into eight books then it becomes 360
divided by 8 which is equal to 45
degrees so somewhat like this so each of
this is 45 degrees so in this fashion
you can find out the values of the rest
to answer so how does inverse
proportional related in this case so
here if you see 4 x 90 so until you
establish this relation that 4 x 96 x 68
x 45 all of these values is equal to 360
degree so which shows that the number of
spoke and the angle between quantitative
spoke they are inversely proportional to
each other because they are called as
the largest constant so with this
relationship you can easily find out
this value because 10 into this manner
is equal to 360 the baby pigeons value
would be 350 divided by 10 that is 56
simulated this again would be grand into
this value with 360 so this value would
be 360 divided by 12 which is 30
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