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CGP EDU Academic Team
Published on: August 14, 2026
The differential equation of the curve for which the initial ordinate of any tangent is equal to the corresponding subnormal -
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b)
y = f(x) is a curve
y – y = f ' (x) (X – x) is tangent at (x, y)
f ' (x) = 
X = 0
initial ordinate of tangent y – x f '(x).
The subnormal at this point is given by y dy/dx. y dy/dx = y – x 
dy/dx = 
This is homogeneous equation
= 
= 
+ 1
= 1
This is linear equation also
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