# AIEEE_Maths_Calculus_6 Online Test

 ____.
0
1
None of the above
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
The value of  is ____.
1
99
0
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
If y= y(x) and it follows the relation x cos y +y cos x=( then y’’ (0)
1
-1
(
-(
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
If f(x) =min {1, x2, x3}, then
f(x) is continuous ( x ( R
f(x)>0, ( x>1
f(x) is continuous but not differentiable ( x ( R
f(x) is not differentiable at two points
1 and 3
2 and 4
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
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.

Discussion

QUESTIONS SHOULD BE IN DEPTH

4114 days 19 hours 33 minutes ago

test series need to be improved

4418 days 18 hours 43 minutes ago

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