location OF roots ( last 2 prOFiles)

location OF roots ( First 3 prOFiles)

Location OF root :- prOFile 1 & 2

Location OF root :- prOFile 3,4,5

Nature OF roots depends on sign OF a,b,c ||Location OF roots ||Illustration

Theory OF location OF roots

Theory OF location OF roots

Nature of roots and Location of roots of quadratic equation

Different condition for location of roots(vi) If alpha

Exercise Questions|Location Of Roots|Exercise Questions|OMR

Let a ,b , c in R such that no two of them are equal and satisfy |(2a, b, c),( b, c,2a), (c, 2a, b)|=0, then equation 24 a x^2+8b x+4c=0 has (a) at last one root in [0,1] (b) at last one root in [-1/2,1/2] (c) at last one root in [-1,0] (d) at last two roots in [0,2]