JEE Main 2005Annual, Paper 1MathematicsMediumCoordinate Geometry478× since 2002The locus of a point P(α,β)P\left( {\alpha ,\beta } \right)P(α,β) moving under the condition that the line y=αx+βy = \alpha x + \betay=αx+β is tangent to the hyperbola x2a2−y2b2=1{{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1a2x2−b2y2=1 is :AOption A. an ellipseBOption B. a circleCOption C. a parabolaDOption D. a hyperbolaCheckSkip · show solution
