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Normals to Hyperbola - Class XII

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Multiple Choice

The equation of the curve which is such that the protion of the axis of x cut off between the origin and tangent at any point is proportional to the ordinate of that point is _______________.

  1. $\log x = b y ^ { 2 } + a$
  2. $x = y ( a + b \log y )$
  3. $x = y ( b - a \log y )$
  4. None of these
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