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VITEEE Maths Test - 7

40 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE Maths Test - 7

Description

This mock test of VITEEE Maths Test - 7 for JEE helps you for every JEE entrance exam. This contains 40 Multiple Choice Questions for JEE VITEEE Maths Test - 7 (mcq) to study with solutions a complete question bank. The solved questions answers in this VITEEE Maths Test - 7 quiz give you a good mix of easy questions and tough questions. JEE students definitely take this VITEEE Maths Test - 7 exercise for a better result in the exam. You can find other VITEEE Maths Test - 7 extra questions, long questions & short questions for JEE on EduRev as well by searching above.

QUESTION: 1

Let z₁ and z₂ be nth roots of unity which subtend a right angle at the origin, then n must be of the form :

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

Solution:

QUESTION: 2

The least value of a for which the equation 4/sin x + 1/1 - sin x = a has atleast one solution on the interval (0, π/2) is

A.
9
B.
4
C.
8
D.
1

Solution:

QUESTION: 3

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

A.
30/7 sq. units
B.
31/7 sq. units
C.
32/3 sq. units
D.
34/3 sq. units

Solution:

QUESTION: 4

If 1 + i is the conjugate of (x+iy)(1-2i), then

A.
x = 1/5
B.
y = 3/5
C.
x + iy = [(1-i)/(1-2i)]
D.
x - iy = [(1-i)/(1+2i)]

Solution:

QUESTION: 5

A.
16/3
B.
3/16
C.
-3/16
D.
-16/3

Solution:

QUESTION: 6

where [x] denotes the greatest integer less than or equal to x, is continuous at x = 2, then the value of a is equal to

A.
− 1
B.
0
C.
1
D.
4

Solution:

QUESTION: 7

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

Solution:

QUESTION: 8

The real part of is

A.
2 cos α
B.
2 sin β
C.
0
D.
1

Solution:

QUESTION: 9

If y' = x-y/x+y, then its solution is

A.
y²+2x-x²=C
B.
y²+2xy+x²=C
C.
y²-2xy-x²=C
D.
y²-2xy+x²=C

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

(d²y/dx²)² + x(dy/dx)³ is a differential equation of

A.
degree 2, order 2
B.
degree 3, order 3
C.
order 2, degree 3
D.
None of these

Solution:

QUESTION: 12

If and f 0 = 0 then f ′ 0 is

A.
0
B.
1
C.
e
D.
nonexistent

Solution:

QUESTION: 13

Integrating factor of dy/dx+y/x=x³-3 is

A.
x
B.
log x
C.
-x
D.
e

Solution:

QUESTION: 14

If X = {1, 2, 3, 4}, then one-one onto mappings f : X → X such that f(1) = 1, f (2) ≠ 2 and f(4) ≠ 4 are given by

A.
{(1, 1), (2, 3), (3, 4), (4, 2)}
B.
{(1, 2), (2, 4), (3, 3), (4, 2)}
C.
{(1, 2), (2, 4), (3, 2), (4, 3)}
D.
none of these

Solution:

QUESTION: 15

For real values of x the minimum value of [(1-x+x²)/(1+x+x²)] is

A.
0
B.
1/3
C.
1
D.
3

Solution:

QUESTION: 16

If ∫e^xsinx dx =(1/2)e^x(a+c), then a=

A.
sinx-cosx
B.
cosx-sinx
C.
-cosx-sinx
D.
cosx+sinx

Solution:

QUESTION: 17

The solution of sin^-1(2a/1 + a²) - cos^-1 (1 - b²/1 + b²) = tan^-1(2x/1 - x²) is :

A.
a - b/1 - ab
B.
1 + ab/a - b
C.
ab - 1/a + b
D.
a - b/1 + ab

Solution:

QUESTION: 18

∫ (sin ^-1 x + cos⁻¹ x) d x = ?

A.
πx/2 + c
B.
x + c
C.
− πx/2 + c
D.
Not possible

Solution:

QUESTION: 19

The value of

A.
1/2
B.
− 1/2
C.
1
D.
0

Solution:

QUESTION: 20

and , then which one of the following is true ?

A.
C = ACosθ−BSinθ
B.
C = ASinθ+BCosθ
C.
C = ASinθ−BCosθ
D.
C = ACosθ+BSinθ

Solution:

QUESTION: 21

A.
0
B.
1
C.
- 1
D.
∞

Solution:

QUESTION: 22

Which of the following is not a statement ?

A.
Every set is a finite set .
B.
8 is less than 6.
C.
Where are you going ?
D.
The sum of interior angles of a triangle is 180 degree.

Solution:

QUESTION: 23

If , then the values of k, a, b are respectively

A.
− 6, − 12, − 18
B.
− 6, 4, 9
C.
− 6, − 4, − 9
D.
− 6, 12, 18

Solution:

QUESTION: 24

If ²ⁿC₃:ⁿC₂=44:3.For which value of r, ⁿC_r=15?

A.
r=3
B.
r=4
C.
r=6
D.
r=5

Solution:

QUESTION: 25

One hundred identical coins, each with probability p, of showing up heads are tossed. If 0 < p < 1 and the probability of heads showing on 50 coins is equal to that of the heads showing in 51 coins, then the value of p is

A.
1/2
B.
49/101
C.
50/101
D.
51/101

Solution:

QUESTION: 26

A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is a six. The probability that it is actually a six is

A.
1/3
B.
3/8
C.
3/7
D.
1/2

Solution:

QUESTION: 27

India plays two matches each with Australia and Pakistan. The probability of India getting points 0,1,2 are 0.45, 0.05, 0.50 . Find the probability of India getting at least 7 points in the series

A.
0.00875
B.
0.875
C.
0.0875
D.
none of these

Solution:

QUESTION: 28

If in a , then

A.
2sin Asin Bsin C = 1
B.
sin 2 A + sin 2 B = sin 2 C
C.
2sin AcosB = sinC
D.
none of these

Solution:

or 2 sin A cos B = cos A sin B + sin A cos B = sin A + B = sin C .

QUESTION: 29

The sum of the series 0.4 + 0.004 + 0.00004 + .... ∞ is

A.
11/25
B.
41/100
C.
40/99
D.
2/5

Solution:

QUESTION: 30

Consider the following statements:
1. Mode can be computed from histogram
2. Median is not independent of change of scale
3. Variance is independent of change of origin and scale.
Which of these is/are correct?

A.
only (1) and (2)
B.
Only (2)
C.
Only (1)
D.
(1), (2) and (3)

Solution:

QUESTION: 31

Covariance (x, y) between x and y if ∑x = 15, ∑y = 40, ∑xy = 110, n = 5 is

A.
22
B.
-2
C.
2
D.
none of these

Solution:

QUESTION: 32

If the product of roots of the equation mx²+6x+(2m-1)=0 is -1, then the value of m is

A.
1
B.
-1
C.
1/3
D.
-(1/3)

Solution:

QUESTION: 33

If x²+2x+2xy+my-3 has two rational factors the value of m is

A.
-6,-2
B.
-6,2
C.
6,-2
D.
6,2

Solution:

QUESTION: 34

The direction cosines of the normal to the plane 6x-3y-2z=1 are

A.
(6/7,3,-2/7)
B.
(6,-3,-2)
C.
1/7(6,-3,-2)
D.
1/7(6,3,2)

Solution:

QUESTION: 35

If P be the (2,6,3), then the equation of the plane thro' P at right angles to OP,O being the origin, is

A.
2x+6x+3z=7
B.
2x-6y+3z=7
C.
2x+6x-3z=49
D.
2x+6y+3z=49

Solution:

QUESTION: 36

The equation
3(x² + y²) + 5x - 7y - 2 = 0 is represents

A.
A pair of straight lines
B.
An empty set
C.
A circle
D.
A degenerate circle

Solution:

QUESTION: 37

The general solution of tan3x=1 is

A.
nπ+(π/4)
B.
(nπ/3)+(π/12)
C.
nπ
D.
nπ (π/4)

Solution:

QUESTION: 38

The radius of the circle inscribed in the triangle formed by lines x = 0, y = 0,
4x + 3y - 24 = 0 is

A.
12
B.
2
C.
2√2
D.
6

Solution:

QUESTION: 39

The median AD of the triangle ABC is bisected at E, BE meets AC in F, than AF:AC =

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

Solution:

QUESTION: 40

If p=i-2j+3k and q=3i+j+2k, then a vector r which is a linear combination of p and q and perpendicular to q is

A.
-(1/2)(i+5j-4k)
B.
i+5j-4k
C.
i-5j+4k
D.
i-5j-4k

Solution:

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VITEEE Maths Test - 7

40 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE Maths Test - 7

Let z₁ and z₂ be nth roots of unity which subtend a right angle at the origin, then n must be of the form :

The least value of a for which the equation 4/sin x + 1/1 - sin x = a has atleast one solution on the interval (0, π/2) is

9

4

8

1

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

{(1, 1), (2, 3), (3, 4), (4, 2)}

{(1, 2), (2, 4), (3, 3), (4, 2)}

{(1, 2), (2, 4), (3, 2), (4, 3)}

none of these

Every set is a finite set .

8 is less than 6.

Where are you going ?

The sum of interior angles of a triangle is 180 degree.

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VITEEE Maths Test - 7

40 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE Maths Test - 7

Let z₁ and z₂ be nth roots of unity which subtend a right angle at the origin, then n must be of the form :

The least value of a for which the equation 4/sin x + 1/1 - sin x = a has atleast one solution on the interval (0, π/2) is

9

4

8

1

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

{(1, 1), (2, 3), (3, 4), (4, 2)}

{(1, 2), (2, 4), (3, 3), (4, 2)}

{(1, 2), (2, 4), (3, 2), (4, 3)}

none of these

Every set is a finite set .

8 is less than 6.

Where are you going ?

The sum of interior angles of a triangle is 180 degree.

Recommended Content

Recommended Tests

Similar Content

Sample Questions of VITEEE Exam

ALLEN TEST PAPER 7

Test Paper 7 Solution

Preparation tips for clearing VITEEE Exam

Related tests

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