 
 
Hello Students, I Dr.
Gajendra Purohit and today I am going to discuss Envelope
and this is a very important topic and based on
these so many questions are asked in the exam
on Envelope and Evolute so now
students, I will explain what is Envelope but before this
I have uploaded so many videos on
higher education like higher engineering mathematics,
and those students who
are pursuing BSC for them also there are so many videos
and also if you are preparing for any competitive exam like IIT JAM
or GATE or CSIR - NET
so students here are so many videos which can
help you and if students you have not subscribed my channel then
press the notification bell and subscribe the channel and
also like the videos so that I can
come up with more good content. So students look here what Envelope is
and how we can solve it
so happens is The Envelope of a family of a curve
is a curve which touches each
member of the family and at each
point is touched by some number of the family
it is a typical language I know you are having
a problem in understanding I accept so I will explain to you
what it is
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
I will take 1-2 questions more and then we will end this topic
so students, look here st the last question tat how we will find the envelope
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
so students I belive my videos are helping you
and I believe the content I am
going to bring in my next videos
for your competitive exams like IIT JAM, CSIR- NET or
GATE exam this content will also help you a lot
subscribe my channel and press the notification bell
students comments and share it does not cost you anything
this motivates us a lot
Thank you so much for watching my videos and share it with your friends “Your 'Knowledge' increases if you share it” Thank You
