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MathsJEE Main 6 Apr 2026, Shift 2·Q8·MCQ·Easy–moderate

Statistics · Mean and variance

Let the mean and the variance of seven observations 2, 4, α\alpha, 8, β\beta, 12, 14, α<β\alpha < \beta, be 8 and 16 respectively. Then the quadratic equation whose roots are 3α+23\alpha + 2 and 2β+12\beta + 1 is:
  1. (1)x2−35x+306=0x^2 - 35x + 306 = 0
  2. (2)x2−41x+420=0x^2 - 41x + 420 = 0
  3. (3)x2−45x+506=0x^2 - 45x + 506 = 0
  4. (4)x2−37x+342=0x^2 - 37x + 342 = 0

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