# 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
Description:

This test consist of 10 questions.Students should ideally take 10 minutes to complete the test. This test is useful for those students who are preparing for IIT JEE, AIEEE or any other engineering entrance test. This test consist of questions from Calculus and which, in general, is focused in AIEEE and IIT JEE. Last year - 6 questions was asked from this chapter in AIEEE. In this chapter, Continuity, Differential Calculus and Properties of integration are key topic and mostly application based questions are asked.

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