jee-advanced 2017 Q37

jee-advanced · India · paper1 Conic sections Eccentricity or Asymptote Computation
If $2x - y + 1 = 0$ is a tangent to the hyperbola $\frac{x^2}{a^2} - \frac{y^2}{16} = 1$, then which of the following CANNOT be sides of a right angled triangle?
[A] $a, 4, 1$
[B] $a, 4, 2$
[C] $2a, 8, 1$
[D] $2a, 4, 1$
If $2x - y + 1 = 0$ is a tangent to the hyperbola $\frac{x^2}{a^2} - \frac{y^2}{16} = 1$, then which of the following CANNOT be sides of a right angled triangle?

[A] $a, 4, 1$

[B] $a, 4, 2$

[C] $2a, 8, 1$

[D] $2a, 4, 1$