Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The differential equation of the curve for which intercept cut by any tangent on y-axis is equal to the length of the sub normal :
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b, d)
Let y = f(x) be the curve
Equation of tangent at (x, y) will be
Y – y = f '(x) (X – x)
Intercept cut by the tangent on y axis will be y – x f '(x)
So y – xf '(x) = y 
⇒ 
=
This is homogeneous equation of first degree & first order Rewriting this equation 
– 
= 1 which is a linear equation
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The order of the differential equation whose general solution is given by Where are arbitrary con…
The differential equation has the degree
The differential equations of all circles passing through origin and having their centers on the -…
The differential equation for the family of curves where is an arbitrary constant, is Find
The solution of the differential equation is Find
If and then function is Find