JEE Main 202628 Jan, Evening shiftMathematicsEasySequence and Series179× since 2002Let the arithmetic mean of 1a\frac{1}{a}a1 and 1b\frac{1}{b}b1 be 516\frac{5}{16}165, a>2a > 2a>2. If α\alphaα is such that a,4,α,ba, 4, \alpha, ba,4,α,b are in A.P., then the equation αx2−ax+2(α−2b)=0\alpha x^2 - ax + 2(\alpha - 2b) = 0αx2−ax+2(α−2b)=0 has :AOption A. both roots in the interval (−2,0)(-2, 0)(−2,0)BOption B. one root in (0,2)(0, 2)(0,2) and another in (−4,−2)(-4, -2)(−4,−2)COption C. complex roots of magnitude less than 2DOption D. one root in (1,4)(1, 4)(1,4) and another in (−2,0)(-2, 0)(−2,0)CheckSkip · show solution
