Q. 34.2( 12 Votes )

Which of the foll

Answer :

NOTE: A set is said to be equal with another set if all elements of both the sets are equal and same.


A = {1, 2, 3}


B ={x R:x2–2x+1=0}


x2–2x+1=0


(x–1)2 = 0


x=1.


B = {1}


C= {1, 2, 2, 3}


In sets we do not repeat elements hence C can be written as {1, 2, 3}


D = {x R : x3 – 6x2+11x – 6 = 0}.


For x = 1


= (1)3–6(1)2+11(1)–6


= 1–6+11–6


= 0


For x =2


= (2)3–6(2)2+11(2)–6


= 8–24+22–6


= 0


For x =3


= (3)3–6(3)2+11(3)–6


= 27–54+33–6


= 0


As cubic equation has three roots at max so the roots are 1, 2, 3


D = {1, 2, 3}


Hence Set A, C and D are equal.


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