For p, q R, consider the real valued function f(x) = (x - p)^ 2 - q, x R and q 0. Let a_ 1 , a_ 2 , a_ 3...

Question

For p, q R, consider the real valued function f(x) = (x - p)^ 2 - q, x R and q > 0. Let a_ 1 , a_ 2 , a_ 3 and a_ 4 be in an arithmetic progression with mean p and positive common difference. If |f(a_ i )| = 500 for all i = 1, 2, 3, 4, then the absolute difference between the roots of f(x) = 0 is _____.

Accepted Answer

50

JEE Main 2022 Mathematics question

Solution

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