MathDB
Hyperbola

Source: 1997 National High School Mathematics League, Exam One, Problem 8

March 4, 2020
conicshyperbola

Problem Statement

Line ll that passes right focal point of hyperbola x2y22=1x^2-\frac{y^2}{2}=1 intersects the hyperbola at A,BA,B. The number of line ll that AB=λ|AB|=\lambda is 3, then λ=\lambda=________.