106. Consider the function f(x) = |x| in the interval –1 < x ≤ 1. At the point x = 0, f(x) is

1. 1. continuous and differentiable

   
   
   

   2. non-continuous and differentiable

   
   
   

   3. continuous and non-differentiable

   
   
   

   4. neither continuous nor differentiable

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given function is, f(x) = | x |
   | x | is continuous at x = 0 but not differentiable.

   Correct Option: C

   Given function is, f(x) = | x |
   | x | is continuous at x = 0 but not differentiable.

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107. 

1. 1. θ

   
   
   

   2. sin θ

   
   
   

   3. 0

   
   
   

   4. 1

   
   
   

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1. View Hint View Answer Discuss in Forum

   
   

   Correct Option: D

   
   

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108. The function y = |2 – 3x|

1. 1. is continuous ∀ x & epsilon; R and differentiable ∀ x & epsilon; R

   
   
   

   2. is continuous ∀ x & epsilon; R and differentiable ∀ x & epsilon; R except at x = 3/2

   
   
   

   3. is continuous ∀ x & epsilon; R and differentiable ∀ x & epsilon; R except at x = 2/3

   
   
   

   4. is continuous ∀ x & epsilon; R except x = 3 and differentiable ∀ x & epsilon; R
      

   
   
   

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1. View Hint View Answer Discuss in Forum

   
   

   Correct Option: C

   
   

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109. 

1. 1. 	1
      	16

   
   
   

   2. 	1
      	12

   
   
   

   3. 	1
      	8

   
   
   

   4. 	1
      	4

      
      

   
   
   

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1. View Hint View Answer Discuss in Forum

   
   

   Correct Option: B

   
   

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110. 

1. 1. 0

   
   
   

   2. 	1
      	6

   
   
   

   3. 	1
      	3

   
   
   

   4. 1

   
   
   

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1. View Hint View Answer Discuss in Forum

   
   

   Correct Option: B

   
   

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