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Consider the equation x + |y| = 2y.
Which of the following statements are not correct?
1. y as a function of x is not defined for all real x.
2. y as a function of x is not continuous at x = 0.
3. y as a function of x is differentiable for all x.
Q. Select the correct answer using the code given below.
  • a)
    1 and 2 only
  • b)
    2 and 3 only
  • c)
    1 and 3 only
  • d)
    1,2 and 3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the equation x + |y| = 2y.Which of the following statements a...
 x+ | y |= 2y
x = 2y - |y |
2y-| y | = x



∵ by checking
y as a function of x is continuous at x = 0, but not differentiable at x = 0.
So all of the statements are not correct.
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Consider the equation x + |y| = 2y.Which of the following statements are not correct?1. y as a function of x is not defined for all real x.2. y as a function of x is not continuous at x = 0.3. y as a function of x is differentiable for all x.Q. Select the correct answer using the code given below.a)1 and 2 onlyb)2 and 3 onlyc)1 and 3 onlyd)1,2 and 3Correct answer is option 'D'. Can you explain this answer?
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