Hyperbola Focal Distances Sum (Jee Mains) | ExamDuo
Hyperbola
Medium
Hyperbola Focal Distances Sum
Let H:
−x2
a2
+
y2
b2
=1 be the hyperbola, whose eccentricity is √3 and the length of the latus rectum is 4√3. Suppose the point (α,6),α>0 lies on H. If β is the product of the focal distances of the point (α,6), then α2+β is equal to :