Question

The equation  where x is a variable, has real roots if p lies in the interval

Solution

Correct option is

 

The equation has real roots if 

       

  

  

  

since  for all values of p, and for  so that the discriminant is non-negative.

SIMILAR QUESTIONS

Q1

The complete solution of the equation  is given by

Q2

 

The number of solutions of the equation

         

in the interval  are 

Q3

 

The number of solutions of the equation  

        

lying in the interval  is

Q4

 

The value of the determinant

          

is zero if

Q6

 then roots of f(x) = 0 are

Q7

The arithmetic mean of the roots of the equation  in the interval (0, 315) is equal to

Q9

The value of x between 0 and  which satisfy the equation  are in A.P. The common difference of the A.P. is

Q10

The solution of  are