Pankaj Chauhan posted an Question
February 10, 2022 • 13:36 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Which of the following sets are convex sets ? )((x,y)| y = *} (i) (x,y)|ys|*|} (ii) ((x,y)|y2x) (a) (i) only (b) (i) and (i) only (c) ) and (iii) only d) (ii) a

Which of the following sets are convex sets ? )((x,y)| y = *} (i) (x,y)|ys|*|} (ii) ((x,y)|y2x) (A) (i) only (B) (i) and (i) only (C) ) and (iii) only D) (ii) and (ii) only

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  • Anonymous User best-answer

    I and ii f(x)=x f(ax+by)=ax+by= a.f(x)+b.f(y) f is convex ii f(x)≤|x| f(ax+by)≤|ax+by| ≤ a.|x|+b.|y| =a.f(x)+b.f(y)

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