If $ x+|y|=2 y $, then $ y $ as a function of $ x $, at $ x=0 $ is

differentiable but not continuous

continuous as well as differentiable

neither continuous nor differentiable

JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Analyzing +4 | -1

x+|y|=2 y

, then

y

as a function of

x

, at

x=0

View answer and explanation

Correct option: B

continuous but not differentiable

Option B is correct because the function is continuous at x=0 but not differentiable due to different left-hand and right-hand derivatives.

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x

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[x]

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