Question

Find envelope of y=MX+√a²m²+b²

Answer 1

Answer:

The slope of the tangent at any point on the hyperbola can be calculated by differentiating it w.r.t. x.

a  

2

 

2x

​

−  

b  

2

 

2y  

dx

dy

​

 

​

=0

⇒  

dx

dy

​

=  

a  

2

y

b  

2

x

​

 

⇒m=  

a  

2

btanθ

b  

2

asecθ

​

=  

asinθ

b

​

 

⇒sinθ=  

am

Step-by-step explanation: