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VITEEE Maths Test - 9

40 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE Maths Test - 9

Description

This mock test of VITEEE Maths Test - 9 for JEE helps you for every JEE entrance exam. This contains 40 Multiple Choice Questions for JEE VITEEE Maths Test - 9 (mcq) to study with solutions a complete question bank. The solved questions answers in this VITEEE Maths Test - 9 quiz give you a good mix of easy questions and tough questions. JEE students definitely take this VITEEE Maths Test - 9 exercise for a better result in the exam. You can find other VITEEE Maths Test - 9 extra questions, long questions & short questions for JEE on EduRev as well by searching above.

QUESTION: 1

If the maximum value of y = a cos x - 1/3 cos 3x occurs when x = π/6, then the value of a is

A.
-2
B.
2
C.
2/√3
D.
- 2/√3

Solution:

QUESTION: 2

The area contained between the curve xy = a² , the vertical line x = a, x = 4a (a > 0) and x -axis is

A.
a² log 2
B.
2a² log 2
C.
a log 2
D.
2a log 2

Solution:

QUESTION: 3

If arg (z) = θ, then arg(z̅) =

A.
θ
B.
-θ
C.
π - θ
D.
θ - π

Solution:

QUESTION: 4

If then the determinant of A² - 2A is

A.
5
B.
25
C.
-5
D.
-25

Solution:

QUESTION: 5

A.
0
B.
1
C.
-1
D.
2

Solution:

QUESTION: 6

If z₁ and z₂ are two non-zero complex numbers such that | z₁ + z₂ | = | z₁ | + | z₂ | , then Arg z₁ − Arg z₂ is

A.
− π
B.
− π/2
C.
0
D.
π/2

Solution:

QUESTION: 7

A.
3 (a + b)
B.
3ab
C.
3a + 5b
D.
0

Solution:

QUESTION: 8

Let f(x) = log |x - 1|, x ≠ 1. The value of is

A.
-2
B.
2
C.
does not exist
D.
none of these

Solution:

QUESTION: 9

If f : ℝ → ℝ is defined by then f is continuous on the set

A.
ℝ
B.
ℝ − { − 2 }
C.
ℝ − { − 1 }
D.
ℝ − { − 1, − 2 }

Solution:

QUESTION: 10

The solution of the equation cosylog(secx+tanx)dx=cosxlog(secy+tany)dy is

A.
sec²x+sec²y=c
B.
secx+secy=0
C.
secx-secy=c
D.
none of these

Solution:

QUESTION: 11

The differential equation admits

A.
Infinite number of solutions
B.
No solution
C.
A unique solution
D.
Many solutions

Solution:

QUESTION: 12

The differential equation of family of lines which passes (1,-1) is

A.
y=(x+1)(dy/dx)+1
B.
y=(x+1)(dy/dx)-1
C.
y=(x-1)(dy/dx)+1
D.
y=(x-1)(dy/dx)-1

Solution:

QUESTION: 13

The solution of the equation (dy/dx)=cotx coty is

A.
cosx=c cosecy
B.
sinx=c secy
C.
sinx=c cosy
D.
cosx=c siny

Solution:

QUESTION: 14

(d/dx)[tan^-1(secx+tanx)]=

A.
1
B.
1/2
C.
cosx
D.
secx

Solution:

QUESTION: 15

A.
xe^x+c
B.
x²e^x+c
C.
(x+1)e^x+c
D.
(x²+1)e^x+c

Solution:

QUESTION: 16

R is the set of real numbers and f : R → R and g : R are defined by f(x) = 3x² + 2 and g(x) = 3x - 1 for all x ∈ R. Then

A.
(fog)(x) = 27x² - 18x + 5
B.
(fog)(x) = 27x² + 18x - 5
C.
(fog)(x) = 9x² - 5
D.
(fog)(x) = 9x² + 6

Solution:

QUESTION: 17

Solution:

QUESTION: 18

If cos(2sin^-1x)=(1/9), then x=

A.
only 2/3
B.
only -(2/3)
C.
2/3, (-2/3)
D.
neither 2/3 nor -2/3

Solution:

QUESTION: 19

The value of

A.
1/2
B.
− 1/2
C.
1
D.
0

Solution:

QUESTION: 20

The value of the is

A.
e
B.
1/e
C.
e²
D.
1/ e²

Solution:

QUESTION: 21

The statement "x > 5 or x < 3" is true if x equals

A.
1
B.
3
C.
4
D.
5

Solution:

For "or" to be true, either (or both) of the conditions must be true.
The only value that makes either of the conditions true is 1.

QUESTION: 22

If A and B are two matrices such that AB=B and BA=A, then A²⁺B²=

A.
2AB
B.
2BA
C.
A+B
D.
AB

Solution:

QUESTION: 23

If A and B are the matrices of same order such that AB = A and BA = B, then A and B are

A.
Involutory matrices
B.
Idempotent matrices
C.
Orthogonal matrices
D.
Nilpotent matrices

Solution:

QUESTION: 24

How many words can be formed from the letters of the word COMMITTEE?

A.
[(9!)/(2!)²]
B.
[(9!)/(2!)³]
C.
[(9!)/(2)]
D.
9!

Solution:

QUESTION: 25

The probability that a teacher will give an unannounced test during any class meeting is 1/5. If a student is absent twice, then the probability that the student will miss at least one test is

A.
4/5
B.
2/5
C.
7/75
D.
9/25

Solution:

QUESTION: 26

Two dice are thrown, the probability that the sum of the points on two dice will be 7 is

A.
5/36
B.
6/36
C.
7/36
D.
8/36

Solution:

QUESTION: 27

A sum of money is rounded off to the nearest rupee. The probability that round off error is at least ten paise is

A.
19/101
B.
19/100
C.
82/101
D.
81/100

Solution:

QUESTION: 28

If a, b, c, d, e, f are in A.P., then e - c is equal to

A.
2(c - a)
B.
2(f - d)
C.
2(d - c)
D.
d - c

Solution:

QUESTION: 29

In , then the triangle is

A.
Isosceles
B.
Equilateral
C.
Right angled
D.
None

Solution:

QUESTION: 30

The most stable measure of central tendency is

A.
mean
B.
median
C.
mode
D.
none of these

Solution:

QUESTION: 31

The mean weight of a group of 10 items is 28 and that of another group of n items is 35. The mean of combined group of 10 + n items is found to be 30. The value of n is

A.
2
B.
4
C.
10
D.
12

Solution:

QUESTION: 32

If one root of the equation x²+px+12=0 is 4, where as the roots of x²+px+q=0 are equal, then the value of q is

A.
4
B.
4/49
C.
49/4
D.
none of these

Solution:

QUESTION: 33

If the ratio of roots of x²+bx+c=0 and x²+qx+r=0 are equal, then

A.
r²c=b²q
B.
r²b=c²q
C.
rb²=cq²
D.
rc²=bq²

Solution:

QUESTION: 34

If cos α, cos β, cos γ are the d.c. of a line, then value of sinα²+sin²β+sin²γ is

A.
1
B.
2
C.
3
D.
4

Solution:

QUESTION: 35

The distance of the point (2,1,-1) from the plane x-2y+4z=9 is

A.
√13/21
B.
13/21
C.
13/√21
D.
√13/21

Solution:

QUESTION: 36

If 2cos²x+3sinx-3=0, 0≤x≤180⁰, then x=

A.
30⁰,90⁰,150⁰
B.
60⁰,120⁰,180⁰
C.
0⁰,30⁰,150⁰
D.
45⁰,90⁰,135⁰

Solution:

QUESTION: 37

The radical centre of the three circles described on the three sides of a triangle as diameter is

A.
The orthocentre
B.
The circumcentre
C.
The centroid
D.
The incentre

Solution:

QUESTION: 38

The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having area as 154 sq.units. Then the equation of the cirlce is

A.
x² + y² + 2x - 2y = 47
B.
x² + y² - 2x + 2y = 47
C.
x² + y² - 2x + 2y = 62
D.
x² + y² + 2x - 2y = 62

Solution:

QUESTION: 39

The unit vector perpendicular to the vector 4i-3j+k in XY-plane is

A.
[(1+j)/√2]
B.
(1/5)(3i+4j)
C.
(1/5)(3i-4j)
D.
(1/5)(4i+3j)

Solution:

QUESTION: 40

If p=7i-2j+3k and q=3i+j+5k, then the modulus of p-2q is

A.
√2a
B.
4
C.
√62-2√35
D.
√66

Solution:

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VITEEE Maths Test - 9

40 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE Maths Test - 9

If the maximum value of y = a cos x - 1/3 cos 3x occurs when x = π/6, then the value of a is

The area contained between the curve xy = a² , the vertical line x = a, x = 4a (a > 0) and x -axis is

If arg (z) = θ, then arg(z̅) =

2(c - a)

2(f - d)

2(d - c)

d - c

√13/21

13/21

13/√21

√13/21

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VITEEE Maths Test - 9

40 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE Maths Test - 9

If the maximum value of y = a cos x - 1/3 cos 3x occurs when x = π/6, then the value of a is

The area contained between the curve xy = a2 , the vertical line x = a, x = 4a (a > 0) and x -axis is

If arg (z) = θ, then arg(z̅) =

2(c - a)

2(f - d)

2(d - c)

d - c

√13/21

13/21

13/√21

√13/21

Recommended Content

Recommended Tests

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Sample Questions of VITEEE Exam

CBSE Test Paper - Maths Lines and Angles, Class 9, CBSE

Test Paper 9 Solution

ALLEN TEST PAPER 9

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The area contained between the curve xy = a² , the vertical line x = a, x = 4a (a > 0) and x -axis is