Maths-
General
Easy

Question

The number of points in the rectangle left curly bracket left parenthesis x comma y right parenthesis vertical line minus 12 less or equal than x less or equal than 12 a n d minus 3 less or equal than y less or equal than 3 right curly bracket which lie on the curve y equals x plus blank s i n blank x and at which the tangent to the curve is parallel to the x ‐axis is

  1. 0    
  2. 2    
  3. 4    
  4. 8    

The correct answer is: 0


    y equals x plus blank s i n blank x equals I f fraction numerator d y over denominator d x end fraction equals 1 plus blank c o s blank x equals 0 subscript t h e n end subscript blank c o s blank x equals negative 1
    equals equals plus-or-minus pi comma 3 pi
    Also y equals plus-or-minus pi comma plus-or-minus 3 pi horizontal ellipsis horizontal ellipsis But for the given constrain on x and y, no such y exists.
    Hence, no such tangent exists.

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