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COMEDK2019MathematicsSets and Relations

R is a relation on N given by R= (x, y) 4 x+3 i j=20 . Which of the following belongs of R ?

Options

  1. A(-4,12)
  2. B(5,0)
  3. C(3,4)
  4. D(2,4)

Correct answer

D. (2,4)

Step-by-step solution

(a) When x=-4 , then 4(-4)+3 y=20 y=12 But x=-4 N (-4,12) R (b) When x=5 , then aligned &4(5)+3 y=20 y=0 &(5,0) R aligned (5,0) R (c) When x=3 , then 4(3)+3 y=20 y= 8 3 (3,4) R (d) When x=2 , then aligned & 4(2)+3 y=20 y=4 &(2,4) R aligned

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