The locus of a point moving under the condition that the line is a tangent to the…

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The locus of a point P(α,β)P(\alpha, \beta) moving under the condition that the line y=αx+βy = \alpha x + \beta is a tangent to the hyperbola x2a2−y2b2=1\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 is (1) an ellipse (2) a circle (3) a parabola (4) a hyperbola

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