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CAT 2025 Linear and Quadratic Equations — Previous Year Question

Year

CAT 2025

Section

Quantitative

Topic

Linear and Quadratic Equations

Difficulty

Hard

Question

Slot-1

A value of cc for which the minimum value of f(x)=x2−4cx+8cf(x) = x^2 - 4cx + 8c is greater than the maximum value of g(x)=−x2+3cx−2cg(x) = -x^2 + 3cx - 2c, is

2

−12-\dfrac{1}{2}

−2-2

12\dfrac{1}{2}

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