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CAT 2025 Slot 2 — QA Question 16

Quadratic EquationsMedium

The equations 3x2−5x+p=03 x ^ { 2 } - 5 x + p = 0 and 2x2−2x+q=02 x ^ { 2 } - 2 x + q = 0 have one common root. The sum of the other roots of these two equations is

Answer & solution

Correct answer: \( \frac { 8 } { 3 } - p + \frac { 3 } { 2 } q \)

  • A
    23−p+32q\frac { 2 } { 3 } - p + \frac { 3 } { 2 } q
  • B
    83+p+13q\frac { 8 } { 3 } + p + \frac { 1 } { 3 } q
  • C
    23−2p+23q\frac { 2 } { 3 } - 2 p + \frac { 2 } { 3 } q
  • 83−p+32q\frac { 8 } { 3 } - p + \frac { 3 } { 2 } q

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CAT 2025 Slot 2 QA Q16 — Quadratic Equations solution | TheCATExam