# For what values of #m# is line #y=mx# tangent to the hyperbola #x^2-y^2=1#?

##### 2 Answers

Mar 31, 2018

#### Explanation:

Put

or

the values of

or

i.e.

and tangents are

graph{(x^2-y^2-1)(x+y)(x-y)=0 [-10, 10, -5, 5]}

Mar 31, 2018

Therefore, slope of tangent of

**For what values of m is line #y=mx# tangent to the hyperbola #x^2−y^2=1#?**