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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.
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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

Solution:

QUESTION: 2

The area contained between the curve xy = a^{2} , the vertical line *x = a, x = 4a (a > 0) *and *x* -axis is

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QUESTION: 3

If arg (z) = θ, then arg(z̅) =

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QUESTION: 4

If then the determinant of *A ^{2} - 2A* is

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QUESTION: 5

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QUESTION: 6

If z_{1} and z_{2} are two non-zero complex numbers such that | z_{1} + z_{2} | = | z_{1} | + | z_{2} | , then Arg z_{1} − Arg z_{2} is

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QUESTION: 7

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QUESTION: 8

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

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QUESTION: 9

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

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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

The differential equation admits

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QUESTION: 12

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

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QUESTION: 13

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

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QUESTION: 14

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

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QUESTION: 15

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QUESTION: 16

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

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QUESTION: 17

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QUESTION: 18

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

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QUESTION: 19

The value of

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QUESTION: 20

The value of the is

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QUESTION: 21

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

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 A^{2+}B^{2}=

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QUESTION: 23

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

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QUESTION: 24

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

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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

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QUESTION: 26

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

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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

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QUESTION: 28

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

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QUESTION: 29

In , then the triangle is

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QUESTION: 30

The most stable measure of central tendency is

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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

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QUESTION: 32

If one root of the equation x^{2}+px+12=0 is 4, where as the roots of x^{2}+px+q=0 are equal, then the value of q is

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QUESTION: 33

If the ratio of roots of x^{2}+bx+c=0 and x^{2}+qx+r=0 are equal, then

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QUESTION: 34

If cos α, cos β, cos γ are the d.c. of a line, then value of sinα^{2}+sin^{2}β+sin^{2}γ is

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QUESTION: 35

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

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QUESTION: 36

If 2cos^{2}x+3sinx-3=0, 0≤x≤180^{0}, then x=

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QUESTION: 37

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

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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

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QUESTION: 39

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

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QUESTION: 40

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

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