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Solution


Q.

Let the arithmetic mean of 1a and 1b be 516, a>2. If α is such that a,4,α,b are in A.P., then the equation αx2-ax+2(α-2b)=0 has:  [2026]
1 both roots in the interval (-2,0)  
2 one root in (0,2) and another in (-4,-2)  
3 one root in (1,4) and another in (-2,0)  
4 complex roots of magnitude less than 2  

Ans.

(3)