If , where [x] denotes the greatest integer function, then:
Both and exist but noot equal
f is continuous at x = 4
exist but does not exist
exist but does not exist
If the system of equation 2x + 3y - z = 0, x + ky - 2z = 0 and 2x - y + z = 0 has a non – trivial solution (x, y, z) , then is equal to
- 4
-
A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is . Water is poured into it at a constant rate of 5 cubic meter per minute. Then the rate (in m/min), at which the level of water is rising at the instant when the depth of water in the tank is 10m; is :
The vertices B and C of a ABC lie on line, such that BC = 5 units. Then the area (in sq.units) of this triangle, given that the point A(1, - 1, 2)
6
If f : is a differentiable function and f(2) = 6, then is
0
24f'(2)
12f'(2)
2f'(2)
C.
12f'(2)