If both the roots of the quadratic equation x^{2} – 2kx + k^{2} + k – 5 = 0 are less than 5, then k lies in the interval

(5, 6]

(6, ∞)

(∞, 4)

[4, 5]
C.
(∞, 4)
If both the roots of the quadratic equation x^{2} – 2kx + k^{2} + k – 5 = 0 are less than 5, then k lies in the interval
(5, 6]
(6, ∞)
(∞, 4)
[4, 5]
C.
(∞, 4)
All the values of m for which both roots of the equations x^{2} − 2mx + m^{2} − 1 = 0 are greater than −2 but less than 4, lie in the interval
If the cube roots of unity are 1, ω, ω^{2} then the roots of the equation (x – 1)^{3 }+ 8 = 0, are
The value of α for which the sum of the squares of the roots of the equation x^{2} – (a – 2)x – a – 1 = 0 assume the least value is
If roots of the equation x^{2} – bx + c = 0 be two consectutive integers, then b^{2} – 4c equals
If z_{1} and z_{2} are two nonzero complex numbers such that z_{1} + z_{2} = z_{1} + z2 then argz_{1} – argz_{2} is equal to
Mock Test Series