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If $a = 3 − 3 − 33$ and $b = 33 − 3 − 3,$ and then $a b − b a$ then is equal to

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-1

answer is A.

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Detailed Solution

Given,

a = 3 − 3 − 33

and

b = 33 − 3 − 3

.
Using,

a − 1 = 1 a

.
Calculating the value of a with respect to b.

⇒ b = 33 − 3 − 3

⇒ b = − − 33 + 3 − 3

⇒ b = − 3 − 3 − 33

⇒ b = − a

Solve

a b − b a

.
Here,

⇒ b a = − 1

⇒ a b = − 1

Apply values in the given expression,

a b − b a

= − 1 − − 1

= − 1 + 1

= 0

Thus, the value of

a b − b a

is 0.
Therefore, the correct option is 1.

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