Question

If the line l intersects the curve y/2=x square -7 at (2,a) and (1,b) then what is the slope of line l

Answer 1

Answer:

Let y=Y,x−1=X

Then, the equation becomes Y  

2

=4X.

So, the focus =(2,0)

Any line through the focus is y=m(x−2)

On solving this with y  

2

−4(x−10

m  

2

(x−2)  

2

=4(x−1)

⇒m  

2

x  

2

−4(m  

2

+1)x+4(m  

2

+1)=0

If m



=0,D=16(m  

2

+1)  

2

−16m  

2

(m  

2

+1)

=16(m  

2

+1)>0, for all m

But, if m=0, then x does not have two real distinct values.

So, mϵR except m=0

∴mϵR−{0}.

Step-by-step explanation: