IIT JEE_Maths_Calculus_5 Online Test

The function
is ____.
An even function
An odd function
A periodic function
None of the above
The value of
is ____.
0
1
None of the above
/
2
– 3
– 5
None of the above
The value of
is ____.
1
99
0
If
denotes the greatest integer less than or equal to
then the value of the integral
equals ____.
5/3
7/3
8/3
4/3

____.
0
1
None of the above

____.
The function f(x)=max {1-x),(1+x),2}, x ( (-(,() is
Continuous at all points
Differentiable at all points
Differentiable at all points except at x=1 and x=-1
Continuous at all points except at x=1 and x=-1, where it is discontinuous
1 and 3
2 and 4
If f(x) is a twice differentiable function and given that f(I) =1; f(2) =4, f(3) =9, then
F’’(x) =2 for ( x ( (1,3)
F’’(x) =f’(x) =5 for some x ( (2,3)
F’’(x) =3 for ( x ( (2,3)
F’’(x) =2 for some x ( (1,3)
If x2 + y2 =1, then
yy’’ –2(y’)2 +1=0
yy’’ +(y’)2 +1=0
yy’’ +(y’)2 -1=0
yy’’ +2(y’)2 +1=0