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Question

Which of the following is true for y=∣∣∣1−1|x|−2∣∣∣ ?

A
It has 2 asymptotes.
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B
It has 3 asymptotes.
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C
It is not differentiable at 5 points.
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D
It is not differentiable at 2 points.
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Solution

The correct option is D It is not differentiable at 2 points.
Follow the below steps to draw the graph of function y=11|x|2

Step1: First draw the graph of function y=1x2

Step 2: Now draw the graph for function y=1|x|2

Step 3: Draw the graph of y=1|x|2

Step 4: Draw the graph of y=11|x|2

Step 5: Now draw the graph of y=11|x|2

From graph of step 5, it is clear that it has 3 asymptotes and not differentiable at 2 points.

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