The roots of (x - a)(x - a - 1) + (x - a - 1)(x - a - 2) + (x - a)(x - a - 2) = 0, are always
equal
imaginary
real and distinct
rational and equal
Let f(x) = x2 + ax + b, where a, b R. If f(x) = 0 has all its roots imaginary, then the roots of f(x) + f'(x) + f''(x) = 0 are
real and distinct
imaginary
real and distinct
rational and equal
If f(x) = 2x4 - 13x2 + ax + b is divisible by x2 - 3x + 2, then (a, b) is equal to
(- 9, - 2)
(6, 4)
(9, 2)
(2, 9)
If x, y, z are all positive and are the pth , qth and rth terms of a geometric progression respectively, then the value of determinant equals
log(xyz)
(p - 1)(q - 1)(r - 1)
pqr
0
If f : R R is defined by
then the value of a so that f is continuous at 0 is
2
1
- 1
0
D.
0
Since, f(x) is continuous at x = 0