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JEE Math Practice Question

If the tangent at the point (x1, y1) on the curve $$y = {x^3} + 3{x^2} + 5$$ passes through the origin, then (x1, y1) does NOT lie on the curve :

  1. A.$${x^2} + {{{y^2}} \over {81}} = 2$$
  2. B.$${{{y^2}} \over 9} - {x^2} = 8$$
  3. C.$$y = 4{x^2} + 5$$
  4. D.$${x \over 3} - {y^2} = 2$$

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