Q81.If x + |y| = 2y, then y as a function of x, at x = 0 is (1) differentiable but not continuous (2) continuous but not differentiable (3) continuous as well as differentiable (4) neither continuous nor differentiable
What This Question Tests
This question assesses the ability to define a function piecewise based on an absolute value and then analyze its continuity and differentiability at a specific point.
Concepts Tested
Formulas Used
Definition of |y|
Conditions for continuity
Conditions for differentiability
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📋 Question Details
- Chapter
- Limits & Continuity
- Topic
- Continuity and differentiability of functions
- Year
- 2012
- Shift
- 07 May Online
- Q Number
- Q81
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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