12th Class Mathematics Continuity and Differentiability Question Bank

done Case Based (MCQs) - Continuity Total Questions - 5

• question_answer1)

  Directions: (1 - 5)

  A potter made a mud vessel, where the shape of the pot is based on \[f\left( x \right)=\left| x-3 \right|+\left| x-2 \right|\], where \[f\left( x \right)\]represents the height of the pot.

  When \[x\text{ }>\text{ }4\] What will be the height in terms of x ?
  A)
  x - 2 done clear
  B)
  x - 3 done clear
  C)
  2x - 5 done clear
  D)
  5 - 2x done clear
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• question_answer2)
  Will the slope vary with x value?
  A)
  Yes done clear
  B)
  No done clear
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• question_answer3)
  What is \[\frac{dy}{dx}\] at \[x=3\]
  A)
  2 done clear
  B)
  -2 done clear
  C)
  Function is not differentiable done clear
  D)
  1 done clear
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• question_answer4)
  When the x value lies between (2, 3) then the function is
  A)
  2x - 5 done clear
  B)
  5 - 2x done clear
  C)
  1 done clear
  D)
  5 done clear
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• question_answer5)
  If the potter is trying to make a pot using the function\[f\left( x \right)=\left[ x \right]\], will he get a pot or not ? Why?
  A)
  Yes, because it is a continuous function done clear
  B)
  Yes, because it is not continuous done clear
  C)
  No, because it is a continuous function done clear
  D)
  No, because it is not continuous done clear
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