Question

If x is real, and 

Solution

Correct option is

1/3 ≤ k ≤ 3

 

 

As x is real, the discriminant

               

 

 

These extreme values are attained at x = 1 and x = –1

SIMILAR QUESTIONS

Q1

If b < 0, then the roots x1 and x2 of the equation 2x2 + 6x + b = 0, satisfy the condition (x1/x2) < k where k is equal to.

Q2

If ax2 + bx + cabc Ïµ R has no real zeros, and if c < 0, then,

Q3

If x is real, then the maximum value of    

                                                                           

Q4

If both the roots of the equation x2 – 6ax + 2 – 2a + 9a2 = 0 exceed 3, then

Q6

Let α, β be the roots of the equation x2 – ax + b = 0 and An = αn + βn

Q7

Let f (x) = ax2 + bx + cabc Ïµ R. if f (x) takes real values for real values of x and non – real values for non – real values of x, then.

Q8

If α, β, γ are such that α + β + γ = 2, α2 + β2 + γ2 = 6, α3 + β3 + γ3 = 8, then α4 + β4 + γ4 is

Q9

The condition that the equation  has real roots that are the equal in magnitude but opposite in sign is

Q10

Let a > 0, b > 0 and c > 0. Then both the roots of the equation ax2 + bx +c = 0