Question:medium

If \(P\) is any point on the curve \[ y^2=4ax, \] other than the origin, then the length of the subtangent at \(P\), \(y\)-coordinate of \(P\) and the length of the subnormal at \(P\) are in

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For the parabola \[ \boxed{y^2=4ax}, \] at the point \[ (at^2,2at), \] \[ \boxed{\text{Subtangent}=2at^2,\qquad \text{Subnormal}=2a.} \] Compare these with the \(y\)-coordinate to identify the progression.
Updated On: Jul 18, 2026
  • arithmetic progression
  • arithmetic-geometric progression
  • harmonic progression
  • geometric progression
Show Solution

The Correct Option is D

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