CUET and UG exam AP EAPCET Engineering Mock Test Series 2025 Mathematics Parabola, Ellipse and Hyperbola Ellipse
Let H : \(\frac{-x^2}{a^2}+\frac{y^2}{b^2}=1\) 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 :
1
170
2
171
3
169
4
172