Mathematics Test 6 - Application Of Derivatives, Relation And Function


30 Questions MCQ Test JEE Main Mock Test Series 2020 & Previous Year Papers | Mathematics Test 6 - Application Of Derivatives, Relation And Function


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This mock test of Mathematics Test 6 - Application Of Derivatives, Relation And Function for JEE helps you for every JEE entrance exam. This contains 30 Multiple Choice Questions for JEE Mathematics Test 6 - Application Of Derivatives, Relation And Function (mcq) to study with solutions a complete question bank. The solved questions answers in this Mathematics Test 6 - Application Of Derivatives, Relation And Function quiz give you a good mix of easy questions and tough questions. JEE students definitely take this Mathematics Test 6 - Application Of Derivatives, Relation And Function exercise for a better result in the exam. You can find other Mathematics Test 6 - Application Of Derivatives, Relation And Function extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

Let A ={1,2,3,......,45} and R be the relation ‘is
square of’ in A.Which of the following is false?

Solution:
QUESTION: 2

If number of elements in sets A and B are m and n respectively, then number of relations from A to B is

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QUESTION: 3

Let be a relation in R
The relation R is

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QUESTION: 4
Given the relation R = {(1, 2),(2,3)} in the set
{1,2,3}, the minimum number of ordered pairs which
when added to R make it an equivalence relation is
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QUESTION: 5
Let R and S be two equivalence relations in a set
A.Then
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QUESTION: 6
Let R be an equivalence relation in a finite set A having
n elements. The number of ordered pairs in R is
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QUESTION: 7
The domain of the function f(x) = is
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QUESTION: 8
Let A and B be two finite sets having m and n elements
respectively.If the total number of injective
functions from A to B is
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QUESTION: 9
Let f(x) = x, 1/x and h(x) = f(x) g(x). Then h(x) = 1 if
and only if
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QUESTION: 10
The inverse of the function f(x) = is
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QUESTION: 11
If a function defined by  is a bijection, then B is equal to
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QUESTION: 12
If and x is a positive integer, then  is equal to
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QUESTION: 13
if then   =
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QUESTION: 14

If f(x) = then f`(x)at x = e is

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QUESTION: 15

If then dy/dx =

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QUESTION: 16
If f ` (x) = sin (logx) & y= then dy/dx is
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QUESTION: 17
If then
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QUESTION: 18
Differential coefficient of w.r.t 
is equal to
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QUESTION: 19

The sequence 1/2,2/3,3/4,…n/n+1 is

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QUESTION: 20
Equation of the tangent at the point P(t), where t is
any parameter, to the parabola is
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QUESTION: 21
The angle of intersection of the curves
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QUESTION: 22

If the function f(x) satisfies conditions of Rolle’s theorem in [1,3] &
= 0, then values of a and b are respectively

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QUESTION: 23
If from mean value theorem then
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QUESTION: 24
If a+ b+ c = 0, then the equation  has
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QUESTION: 25

The maximum value of the function sinx (1 + cosx) is

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QUESTION: 26

For the parabola the ratio of the subtangent to the abscissa is

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QUESTION: 27
has point of maxima at
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QUESTION: 28
The function    assumes minimum
value for x given by
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QUESTION: 29
Divide 64 into two parts such that the sum of cubes
of two parts is minimum. The two parts as
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QUESTION: 30

The functions decreases on the interval

Solution: