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Question: Answered & Verified by Expert
The length of the subtangent, ordinate and the subnormal are in
MathematicsApplication of DerivativesKCETKCET 2012
Options:
  • A $\mathrm{AP}$
  • B HP
  • C GP
  • D Arithmetico-geometric progression
Solution:
1699 Upvotes Verified Answer
The correct answer is: GP
$\because \quad$ Subtangent $=\mathrm{y} \times \frac{\mathrm{dx}}{\mathrm{dy}}$
and subnormal $=\mathrm{y} \times \frac{\mathrm{dy}}{\mathrm{dx}}$
$\therefore$ Subtangent $\times$ subnormal $=y^{2}=(\text { ordinate })^{2}$
Hence, length of the subtangent, ordinate and the subnormal are in GP.

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