[" If "lambda" be the ratio of the roots of the quadratic equation in "x,3m^(2)x^(2)+m(m-4)x+2=0" ,then the least "],[" value of "m" for which "lambda+(1)/(lambda)=1," is : "]

If lambda be the ratio of the roots of the quadratic equation in x,3m^(2)x^(2)+m(m-4)x+2=0 then the least values of m for which lambda+(1)/(lambda)=1 is

If m and n are the roots of the quadratic equations x^(2) - 3x+1 =0 , then find the value of (m)/( n) + ( n)/(m)

The value of lambda such that sum of the squares of the roots of the quadratic equation,x^(2)+(3-lambda)x+2=lambda has the least value is

The values of lambda such that sum of the squares of the roots of the quadratic equation x^(2) + (3 - lambda) x + 2 = lambda has the least value is

The values of lambda such that sum of the squares of the roots of the quadratic equation x^(2) + (3 - lambda) x + 2 = lambda has the least value is

The values of lambda such that sum of the squares of the roots of the quadratic equation x^(2) + (3 - lambda) x + 2 = lambda has the least value is

The value of m for which the roots of the equation x^(2)+(m-2)x+m+2=0 are in the ratio 2:3 is

For what value of m, the roots of the quadratic equation 4x^(2)+4(3m-1)x+(m+7)=0 are reciprocal to each other ?

Find the values of 'm', if the roots of the following quadratic equation are equal, (4+m)x^(2)+(m+1)x+1=0 .

If ratio of the roots of the quadratic equation 3m^(2)x^(2)+m(m-4)x+2=0 is lambda such that lambda+(1)/(lambda)=1 then least value of m is (A)-2-2sqrt(3)(B)-2+2sqrt(3)(C)4+3sqrt(2)(D)4-3sqrt(2)