Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The slope of normal at any point (x, y), x > 0, y > 0 on the curve y = y(x) is given by 
,If the curve passes through the point (1, 1), then e.y(e) is equal to
A
B
C
1
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Slope of normal 
x 2 y 2 dx + dx - xydx = x 2 dy
x 2 y 2 dx + dx = x 2 dy + xydx
x 2 y 2 dx + dx = x(xdy + ydx)
x 2 y 2 dx + dx = xd(xy)
.. (i)
passes though (1,1)
equation (i) be becomes
... (ii)
put x = e in (ii)
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