α is the maximum value of 1-2x-5x^2 and β is the minimum of x^2-2x+r, if 5\alphax^2+\beta+6>0 for all real values x, then the interval in which r lies is

TS EAMCET 10-Sep-2020 Shift 1 Solved Paper

Section: Mathematics

Question : 12 of 160

Marks: +1, -0

α is the maximum value of 1−2x−5x2 and β is the minimum of x2−2x+r, if 5αx2+β+6>0 for all real values x, then the interval in which r lies is

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