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Most Important Selected Qs for JEE AdvancedMathematicsFunctions

Number of solutions of the equation |y+|y||=2 x is where y= 1 3 [ x+[ x+[ x ] and [ denotes the greatest integer function

Correct answer

0

Step-by-step solution

aligned & |y+|y||=2 x |y|= x & y= 1 3 [ x+[ x+[ x]]]=[ x] [ x]= x aligned Number of solution in [0,2 ] is 0 Hence total solution is 0 . ( both are periodic with period 2 ).

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