For the curve y = xex, the point
x = -1 is a minimum
x = -1 is a maximum
x = 0 is a minimum
x = 0 is a maximum
The least value of a such that the function x2+ax+1 is increasing on (1,2) is
2
-2
1
-1
The two positive numbers whose sum is 16 and the sum of whose cubes is minimum
8,7
6,8
8,8
8,6
The maximum and minimum value of 3x4-8x3+12x2-48x+1 on the interval [1,4] is
257,-63
-257,63
-63,-63
-40,-40
The function f is differentiable with f (1) = 8 and f' (1) = 1/8.If f is invertible and g = f-1, then.
g' (1) = 8
g' (1) = 1/8
g' (8) = 8
g' (8) = 1/8
The maximum value of sin x cos x is
1/4
1/2
If a differentiable function f (x) has a relative minimum at x = 0, then the function y = f i.e. y = f (x) + ax + b has a relative minimum at x = 0 for
all a and all b
all b if a = 0
all b > 0
all a > 0
Minimum value of f (x) = sin x in - π/2 ≤ x ≤ π/2 is
0
None of these
Two towns A and B are 60 Km apart.A school is to be built to serve 150 students in town A and 50 students in town B.If the total distance to be travelled by all 200 students is to be as small as possible, then the school should be built at
Town B
45 km. from town A
Town A
45 km. from town B
If a + b + c = 0, then the quadratic equation 3 ax2 + 2 bx + c = 0 has
Imaginary roots
At least one real root in (0, 1)
One root in [2, 3] and other in [3, 6]
