Question

A hyperbola does not have mutually perpendicular tangents, then its eccentricity can be

• A. $\frac{7}{6}$
  
• B. $\frac{7}{5}$
  
• C. $\frac{3}{2}$
  
• D. $2$

Answer 1

Answer: (C), (D)

The correct options are
C $\frac{3}{2}$

D $2$

Let the hyperbola be $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$
For non-existence of ${\perp }^r$ tangents $b^2>a^2\Rightarrow e>\sqrt{2}$