Consider the quadratic equation`x^2-mx+1=0` with two roots `alpha`and `beta` such that `alpha`+`beta`=m and `alpha``beta`=1 The values of m for which `alphalt1 and betagt1` are (A) `[-2,oo[` (B) `[-2,2]` (C) `[2,oo]` (D) `]-oo,-2]`

Consider the quadratic equation x^2-mx+1=0 with two roots alpha and beta such that alpha + beta =m and alpha beta =1 The value of m for which both the roots of the equation are less than unity are (A) ]-oo,-2] (B) [-2,2] (C) [2,oo] (D) ]-oo,-2]cup[2,oo]

Consider the quadratic equation x^2-mx+1=0 with two roots alpha and beta such that alpha + beta =m and alpha beta =1 The value of m for which both the roots of the equation are greater then unity re (A) [2,oo] (B) ]--oo,2] (C) [-2,2] (D) none of these

If alpha and beta are roots of the quadratic equation x ^(2) + 4x +3=0, then the equation whose roots are 2 alpha + beta and alpha + 2 beta is :

If alpha and beta be the roots of the equation x^(2)-2x+2=0 , then the least value of n for which ((alpha)/(beta))^(n)=1 is:

If alpha and beta are the roots of the quadratic equation ax^(2)+bx+1 , then the value of (1)/(alpha beta)+(alpha+beta) is

Given that tan alpha = (m)/( m +1), tan beta = (1)/(2m +1) then what is the value of alpha + beta?

If alpha , beta are the roots of x^2 +x+1=0 then alpha beta + beta alpha =

If alpha and beta are the roots of the equation x^2+4x + 1=0(alpha > beta) then find the value of 1/(alpha)^2 + 1/(beta)^2

If alpha and beta are the roots of the quadratic equation px^(2)+qx+1 , Then the value of alphabeta+alpha^(2)beta^(2) is

If alpha and beta are the roots of a quadratic equation such that alpha+beta=2, alpha^4+beta^4=272 , then the quadratic equation is