# IIT JEE_Maths_Calculus_6 online Test

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variable radii and a fixed centre at (0,1)
variable radii and a fixed centre at (0,-1)
fixed radius 1 and variable centers along the x-axis
fixed radius 1 and variable centers along the y-axis.
The different equation  determines a family of circles with
variable radii and a fixed centre at (0,1)
variable radii and a fixed centre at (0,-1)
fixed radius 1 and variable centers along the x-axis
fixed radius 1 and variable centers along the y-axis.
 ____.
0
1
None of the above
 ____.
5/2
1/2
3/2
7/2
Suppose f is such that  for every real x and  then  ____.
10
5
0
– 5
 is equal to ____.
0
1
2
ln 3
If  and  are one to one, real valued functions, then the value of the integral  is ____.
0
1
None of the above
Simpson’s one-third rule for evaluation  requires the interval [a, b] to be divided into ____.
An even number of sub-intervals of equal width
Any number of sub-intervals
Any number of sub-intervals of equal width
An odd number of sub-intervals of equal width
The derivative of  at  is ____.
0
1
–1
Not defined
The differential coefficient of the function  at the point  ____.
– 2
0
2
Undefined
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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