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JEE Math Practice Question

The locus of a point $$P\left( {\alpha ,\beta } \right)$$ moving under the condition that the line $$y = \alpha x + \beta $$ is tangent to the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$ is :

  1. A.an ellipse
  2. B.a circle
  3. C.a parabola
  4. D.a hyperbola

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