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Question

If a, b, c are in A.P., then (ac)2=4(b2ac).

A
True
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B
False
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Solution

The correct option is A True
We have,
a,b,c are in A.P

Therefore,
a+c=2b

On squaring both sides, we get
(a+c)2=4b2
a2+c2+2ac=4b2
a2+c22ac=4b24ac
(ac)2=4(b2ac)

Hence, this is the answer.

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