Question

) Write the following sets in a listing method and identify which is singleton set.
i) P = {|
ଶ = 49, ∈ } ii) Q = {|
ଶ + 5 = 2
ଶ + 4, ∈ }
iii) R = { | ∈ , ଷ = 27 } iv) S = { |
ଶ − 25 = 0 }

Answer 1

Answer:

physics, power is the rate of doing work. It is the amount of energy consumed per unit time. The unit of power is the joule per second (J/s), known as the watt (in honor of James Watt, the eighteenth-century developer of the steam

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Answer 2

Answer:

Correct option is

B

{x:∣x∣=2,xεN}

a singleton set has only one element.

Option A

⟶x

2

=5

⟹x=±

5

which is an irrational number.

But x∈N.

So this a null set.

Option B

⟶∣x∣=2.

x=±2

∵x∈N

represents natural numbers

So x will assume only one value which is 2.

i.e this is a singleton set.

Option C

⟶∣x∣=7.

x=±7

∵x∈Z

represents integer

x can assume two values 7,−7.

i.e This is not a singleton set.

Option D

⟶x

2

+4x+4=0

⟹(x+2)

2

=0

⟹x=−2.

∵x∈N

So this is a null set.

Ans- Option B.