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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.
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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 :

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QUESTION: 2

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QUESTION: 3

The area bounded by the curve y = 4x - x^{2} and x-axis is

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QUESTION: 4

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

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QUESTION: 5

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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

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QUESTION: 7

=

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QUESTION: 8

The real part of is

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QUESTION: 9

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

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QUESTION: 10

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

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QUESTION: 11

(d^{2}y/dx^{2})^{2} + x(dy/dx)^{3} is a differential equation of

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QUESTION: 12

If and f 0 = 0 then f ′ 0 is

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QUESTION: 13

Integrating factor of dy/dx+y/x=x^{3}-3 is

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QUESTION: 14

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

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QUESTION: 15

For real values of x the minimum value of [(1-x+x^{2})/(1+x+x^{2})] is

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QUESTION: 16

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

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QUESTION: 17

The solution of sin^{-1}(2a/1 + a^{2}) - cos^{-1} (1 - b^{2}/1 + b^{2}) = tan^{-1}(2x/1 - x^{2}) is :

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QUESTION: 18

∫ (sin ^{-1} x + cos^{−1} x) d x = ?

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QUESTION: 19

The value of

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QUESTION: 20

If

and , then which one of the following is true ?

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QUESTION: 21

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QUESTION: 22

Which of the following is not a statement ?

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QUESTION: 23

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

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QUESTION: 24

If ^{2n}C_{3}:^{n}C_{2}=44:3.For which value of r, ^{n}C_{r}=15?

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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

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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

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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

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QUESTION: 28

If in a , then

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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

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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?

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QUESTION: 31

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

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QUESTION: 32

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

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QUESTION: 33

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

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QUESTION: 34

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

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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

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QUESTION: 36

The equation

3(x^{2} + y^{2}) + 5x - 7y - 2 = 0 is represents

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QUESTION: 37

The general solution of tan3x=1 is

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QUESTION: 38

The radius of the circle inscribed in the triangle formed by lines x = 0, y = 0,

4x + 3y - 24 = 0 is

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QUESTION: 39

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

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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

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