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Question

The number of solutions of 3|x|(|2|x||)=1 is

A
2
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B
6
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C
4
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D
8
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Solution

The correct option is C 4
3|x|(|2|x||)=1|2|x||=3|x|

We know graph of |x|


Graph of |x|


For 2|x| move |x| by 2 units upwards.


Now graph of |2|x||


Graph of 3|x|


For no. of solutions


Hence, the number of solutions is 4.

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