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One of the diameters of circle circumscribing the rectangle `ABCD` is`4y=x+7`. If `A` and `B` are the points `(-3,4)` and `(5,4)` respectively and area of rectangle is `p` then `p/4` is equal to

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Verified by Experts

The correct Answer is:
8
Let center is `E(alpha,beta)`
mid point of `AB` is `Q(1,4)`
`m_(OE)=(beta-4)/(alpha-1)=oo`
`impliesalpha=1`
and `4beta=alpha+7impliesbeta=2`
so `E(1,2)`
so `EQ=2`
so area `=8xx4=32=p`
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