Question

If A = {0}, B = {x: x is a non-negative root of x^2+2x=0}, C= {x: x>10 and x<5}, D = {x: x^2=36} then choose the correct option.

(a) A=C

(b) A=D

(c) B=C

(d) A=B

I had been asked this question in examination.

Query is from Equal Sets in section Sets of Mathematics – Class 11

Answer 1

Right answer is (d) A=B

For explanation: Here for set B the value of x = 0 since -2 is a negative root, C is a null set, also solving x^2=36 gives x=6 and x =-6 Since A and B have same elements in them and also an equal number of elements, Therefore, A is equal to B.