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CAT 2025 Slot 1 — QA Question 8

Quadratic EquationsMedium

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

Answer & solution

Correct answer: \(\frac{1}{2}\)

  • A
    2
  • B
    −12-\frac{1}{2}
  • C
    −2-2
  • 12\frac{1}{2}

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CAT 2025 Slot 1 QA Q8: A value of \(c\) for which the minimum value of \(f(x)=x^2-4 c x+8 c\) is greater than the maximum value of \( — Solution | TheCATExam