Question

if line 2x+3y+k=0 touches the parabola xpower2=108y thenk=​

Answer 1

Answer:

Step-by-step explanation:

2x+3y+k=0

⟹y=  

3

−(2x+k)

​  

 

x  

2

=108y=(108)  

3

−2k−k

​  

=−36(2x+k)

x  

2

+72x+36k=0

Here for two curves to touch each other,

So,

72  

2

−4×1×36k=0

⟹k=  

4×36

72  

2

 

​  

=36