Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems If two tangents can be drawn to the different branches of hyperbola from the point
MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections
Problem If two tangents can be drawn to the different branches of hyperbola x 2 1 − y 2 4 = 1 \frac{x^2}{1} - \frac{y^2}{4} = 1 1 x 2 − 4 y 2 = 1 ( α , α 2 ) (\alpha, \alpha^2) ( α , α 2 ) α ∈ ( − ∞ , − 2 ) \alpha \in (-\infty, -2) α ∈ ( − ∞ , − 2 ) α ∈ ( − 2 , 0 ) \alpha \in (-2, 0) α ∈ ( − 2 , 0 ) α ∈ ( 0 , 2 ) \alpha \in (0, 2) α ∈ ( 0 , 2 ) α ∈ ( 2 , ∞ ) \alpha \in (2, \infty) α ∈ ( 2 , ∞ ) Browse the problem library