The curve for which the sum of the lengths of the tangent and subtangent at any of its…

Mathematics · JEE Advanced · NTA ExamsDifferential Equations

The curve for which the sum of the lengths of the tangent and subtangent at any of its point is proportional to the product of the co-ordinates of the point of tangency. The proportionality factor is equal to k.
  1. y = ln | c (k2x2–1)|
  2. \(\mathrm{y}=\frac{1}{\mathrm{k}} \ln \left|\mathrm{c}\left(\mathrm{k}^{2} \mathrm{x}^{2}-1\right)\right|\)
  3. y = ln |k (c2x2 +1)|
  4. y = ln |k (c2 x2 –1)|

Answer

(B) y = 1 k | c ( k ^ 2 x ^ 2 -1 ) |

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