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Suppose aI and the equation (x-a) (x-5) = 3 has integral roots, then the set of values which ‘a ’ can take is:

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By Expert Faculty of Sri Chaitanya
a
ϕ
b
{-11, - 13}
c
{3,7}
d
{-3,-7}

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detailed solution

Correct option is C

Let m ∈I be a root of (x - a) (x-5) = 3.then(m-a) (m -5) = 3As m-a and m - 5 are integers, m−5=±1 or m−5=±3⇒m= 2, 4, 6, 8.Thus, a = 3,7.


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