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Question

State whether the given statement is true or false.
If p12x×p=q12x×q;pq then value of x is 34.

A
True
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B
False
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Solution

The correct option is A True
As given p12x×p=q12x×q;pq.
when p is not equal to q both sides can be equal only when their power is equal to zero.
p12x×p12=q12x×q12
Now solving x for p
12x+12=0
24x+1=0
4x=3
x=34

Now solving x for q
12x+12=0
24x+1=0
4x=3
x=34

L.H.S=R.H.S

The given statement is true.

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