VITEEE Maths Test - 4


40 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE Maths Test - 4


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This mock test of VITEEE Maths Test - 4 for JEE helps you for every JEE entrance exam. This contains 40 Multiple Choice Questions for JEE VITEEE Maths Test - 4 (mcq) to study with solutions a complete question bank. The solved questions answers in this VITEEE Maths Test - 4 quiz give you a good mix of easy questions and tough questions. JEE students definitely take this VITEEE Maths Test - 4 exercise for a better result in the exam. You can find other VITEEE Maths Test - 4 extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

A condition for a function y = f(x) to have inverse is that it should be

Solution:
QUESTION: 2

The area bounded by the x-axis and the curve y = 4 x − x2 − 3 is

Solution:


y = 0, y = 4x - x2 - 3
⇒ 4x - x2 - 3 = 0
⇒ x2 - 4x + 3 = 0
⇒ (x - 1) (x - 3) = 0
⇒ x = 1, 3

QUESTION: 3

If

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QUESTION: 4

If then

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QUESTION: 5

If the function f is defined by then at what points is f differentiable

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QUESTION: 6

If z2 + z + 1 = 0, where z is a complex number then the value of

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QUESTION: 7

If  is continuous at π/4 , then a =

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QUESTION: 8

Solution:

 

QUESTION: 9

The solution of the differential equation cos(x + y)dy = dx is

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QUESTION: 10

The solution of differential equation (dy/dx)=[(x(2logx+1))/(siny+ycosy)] is

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QUESTION: 11

The roots of the equation  are

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QUESTION: 12

The degree of the differential equation

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QUESTION: 13

The differential equation which represents the family of plane curves y=exp. (cx) is

Solution:

y = ecx
dy dx = c. ecx
y' = cy

QUESTION: 14

If x=a[(cost)+(log tan(t/2))], y=a sint, (dy/dx)=

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QUESTION: 15

The range of the function f(x) = x2 - x/x2 + 2x is

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QUESTION: 16

Solution:

QUESTION: 17

If where n > 1 , then In − In − 2

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QUESTION: 18

sec2(tan-1 2) + cosec2(cot-1 3) =

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QUESTION: 19

Let
What is the value of 

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QUESTION: 20

The value of 

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QUESTION: 21

Which is logically equivalent to "If today is Sunday, Matt cannot play hockey."?

Solution:

Statements are logically equivalent to their contrapositives.

QUESTION: 22

If A is a singular matrix, then A adj (A)

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QUESTION: 23

If A and B both are of order 2 x 3 , which one of these is not defined ?

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QUESTION: 24

Twelve students compete for a race. The number of ways in which first three prizes can be taken is

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QUESTION: 25

An unbaised die with faces marked 1,2,3,4,5 and 6 is rolled four times. Out of four face value obtained, the probability that the minimum face value is not less than 2 and the maximum face value is not greater than 5, is

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QUESTION: 26

A committee of 5 is to be chosen from a group of 9 people. What is the probability that a certain married couple serve together or not at all ?

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QUESTION: 27

Two dice are thrown simultaneously. The probability of obtaining a total score of seven is

Solution:

There are six possible ways as to the number of points on the first die; and to each of these ways, there corresponding 6 possible numbers of points on second die.
Hence total number of ways S = 6 x 6 = 36
We now find out how many ways are favorable to the total of 7 points.
This may happen only in following ways:
(1, 6), (6, 1), (2, 5), (5, 2), (3, 4), (4, 3).
Hence, required Probability = 6/36 =1/6.

QUESTION: 28

In a triangle   , then b =

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QUESTION: 29

If the sum of n terms of the series 23 + 43 + 63 + ... ∞ is 3528, then n equals

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QUESTION: 30

The Quartile Deviation of the daily wages (in Rs) of 7 persons given below :
12, 7, 15, 10, 17, 19, 25 is

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QUESTION: 31

The S.D. of 5 scores
1 2 3 4 5 is

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QUESTION: 32

If x is positive, the greatest value of 5+4x-4x2 is

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QUESTION: 33

The degree of the equation is ____

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QUESTION: 34

A st. line which makes an angle of 600 with each of y and z axes, inclines with x-axis at an angle

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QUESTION: 35

The direction ratios of a normal to the plane through (1, 0, 0), (0, 1, 0), which makes an angle of π/4 with the plane x + y = 3 are

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QUESTION: 36

If sin2x+sin4x=2sin3x, then x=

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QUESTION: 37

Locus of centroid of the triangle whose vertices are (a cost, a sint), (b sint, -b cost) and (1, 0), where t is a parameter, is

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QUESTION: 38

In a ∆ABC, if A is the point (1, 2) and equations of the median through B and C are respectively x + y = 5 and x = 4, then B is

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QUESTION: 39

If θ is the angle between vectors a and b and |axb|=a.b, then θ=

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QUESTION: 40

The sine of the angle between the vectors 3i+2j-k and 12i+5j-5k is

Solution:

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