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HomeXAT PYQsXAT 2025 Question PaperConsider the quadratic function $$f(x) = ax^2 + bx + a$…
XAT 2025Quantitative AbilityQuadratic EquationsHARD+1 / −0.25

Consider the quadratic function f(x)=ax2+bx+af(x) = ax^2 + bx + af(x)=ax2+bx+a having two irrational roots, with a and b being two positive integers, such that a,b≤9a, b \leq 9a,b≤9.
If all such permissible pairs (a, b) are equally likely, what is the probability that a + b is greater than 9?

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