Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If x + 4 |y| = 6y, then y as a function of x is -
A
Not continuous at x = 0
B
Not defined for all real x
C
= 
for x > 0
D
Derivable at x = 0
Text Solution
Verified by ExpertsThe correct answer is:
C
x + 4|y| = 6y
y > 0 y ≤ 0
x + 4y = 6y x – 4y = 6y
y = x/2 x = 10y
y = x/10
y = 
Continuous everywhere not differentiable at x = 0,
For x > 0, 
= 
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