Question

All the values of m for which both the roots of the equation x2 – 2mx + m2– 1 = 0 are greater than – 2 but less than 4, lie in the interval

Solution

Correct option is

– 2 < m < 4

 

 

SIMILAR QUESTIONS

Q1

If x2 + x + 1 is a factor ax3 + bx2 + cx + d, then the real root of ax3 + bx2cx + d = 0 is

Q2

If one root of the equation (a2 – 5a + 3)x2 + (3a – 1)x + 2 = 0 be double the other, then the value of α is:

Q3

For the equation 3x2 + px + 3 = 0, p > 0, if one of the roots is square of the other, then p is equal to

Q4

If the roots of the equation x2 – 2ax + a2 + a – 3 = 0 are real and less than 3, then

Q5

If b > a, then the equation (x – a) (x – b) – 1 = 0, has

Q6

If α and β (α < β), are the roots of the equation x2 + bx + c = 0, where c < 0 < b, then

Q7

If 1 lies between the roots of the equation 3x2 – 3 sin α x – 2 cos2 α = 0 then α lies in the interval

Q8

Let α,β be the roots of the equation x2 – px + r = 0 and  2β be the roots of the equation x2 – qx + r = 0. Then the value of r is

Q9

The number of real roots of the equation (x + 3)4 + (x + 5)4 = 16 is

Q10

The expression ax2 + bx + c has the same sign as of a if