The direction cosines of the line are ____.
1, 1, 1
None of the above
Direction ratios of the normal to the plane passing through the points (0, 1, 1), (1, 1, 2) and (–1, 2, – 2) are ____.
(1, 1, 1)
(2, 1, –1)
(1, 2, –1)
(1, – 2, – 1)
If the co-ordinates of the points be (1, 2, 3), (4, 5, 7), (– 4, 3, – 6) and (2, 0, 2) respectively, then ____.
None of the above
The function f(x)=[x]2-[x2] (where [y] is the greatest integer less than or equal to y), is discontinuous at
all integers
all integers except 0 and 1
all integers except 0
all integers except 1
The function f (x) = (x2 -1) | x2 -3x +2| + cos(|x|) is NOT differentiable at
-1
0
1
2
Let h(x) =min{x,x2}, for every real number of x. Then
h is continuous for all x
h is differentiable for all x
h’(x)=1, for all x>1
h is not differentiable at two values of x
1, 3 and 4
2 and 4
Let f(x) be a quadratic expression which is positive for all the real values of x. If g(x) +f’(x) +f’’(x), then for any real x,
g(x)<0
g(x)>)
g(x)=0
g(x)>0
The differential coefficient of the function at the point ____.
– 2
0
2
Undefined
____.
None of the above
If be a homogeneous function of degree in then ____.
None of the above