HyperbolaHardBloom L3
Question
If the portion of the asymptote between centre and the tangent at the vertex of hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$ in the third quadrant is cut by the line $y + \lambda(x + a) = 0;\lambda$ being parameter, then:
Options
A.$\lambda \in R^{+}$
B.$\lambda \in R^{-}$
C.$\lambda \in (0,1)$
D.$\lbrack 0,\infty)$
Solution
Sol. (a)
$$y = - \lambda(x + a) $$cut the segment $OP$ if $- \lambda < 0 \Rightarrow \lambda > 0$
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