Question bank/JEE Main/Mathematics

One of the diameters of circle circumscribing the rectangle ABCD
is 4x+7. If A and B are the points (-3,4) and (5,4) respectively and
length of intercept made by line 4y=x+7 between rectangle ABCD is p then
1.11p^2 is equal to
vUr [k.M dh yEckbZ p

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Let center is E (α,β)
ekuk dsUnz E (α,β)
mid point of AB is Q(1,4)
AB fcUnq Q(1,4)
$m_{oE\ } = \frac{\beta - 4}{\alpha - 1} = \infty$
[IMAGE] ⇒ α =1
and vkSj 4β = α+7 ⇒β = 2
so blfy, E(1,2)
so blfy, EQ=2
so area blfy, vHkh"B {ks=Qy = 8 ×4 = 32 =p

Source: Grass-G / M-26 Mathematics Paper 1 15 Jan.docx