Question

The real value of a for which the sum of the square of the roots of the equation  assume the least value is

Solution

Correct option is

1

Discriminant of the equation is 

        

        .  

 Roots of the given equation are real. Let these roots be .

    

We have, 

        .  

                         

                         

SIMILAR QUESTIONS

Q1

If abc are in G.P., then the equations ax2 + 2bx + c = 0 and dx2 + 2ex +f = 0 have a common root if  are in

Q2

 

If lmn are real, , then the roots of the equation

      .