If the graph of a differentiable function y = f (x) meets the lines y = -1 and y = 1, then the graph.
Meets the line y = 0 at least once
Meets the line y = 0 at least twice
Meets the line y = 0 at least thrice
Does not meet the line y = 0
For f (x) = (x - 1)2/3, the mean value theorem is applicable in the interval
(1, 2)
(0, 2)
Any finite interval
None of these
The function f (x) = x + 4/x has
A local maxima at x = 2 and local minima at x = -2
Local minima at x = 2 and local maxima at x = -2
Absolute maxima at x = 2 and absolute minima at x = -2
Absolute minima at x = 2 and absolute maxima at x = -2
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]
If y = a log x + bx2 + x has its extremum value at x = -1 and x = 2, then
a = 2, b = -1
a = 2, b = -1/2
a = -2, b = 1/2
The two positive numbers whose sum is 16 and the sum of whose cubes is minimum
8,7
6,8
8,8
8,6
If x be real the minimum value of x2 - 8x + 17 is
-1
0
1
2
The least value of a such that the function x2+ax+1 is increasing on (1,2) is
-2
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 largest interval for which x12 - x9 + x4 - x + 1 > 0 is
-4 < x ≤ 0
0 < x < 1
-100 < x < 100
-∞ < x < ∞
