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Manipal MET2013MathematicsTrigonometric Equations

If x, y [0,2 ] then the total number of ordered pairs (x, y) satisfying x y=1 is equal to

Options

  1. A1
  2. B3
  3. C5
  4. D7

Correct answer

B. 3

Step-by-step solution

x y=1 x=1, y=1 or x=-1, y=-1 . if x=1, y=1 x= 2 , y=0,2 if x=-1, y=-1 x= 3 2 , y= Thus possible ordered pairs are ( 2 , 0 ), ( 2 , 2 ), ( 3 2 , )

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