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VITEEE Maths Test - 10 - JEE MCQ


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30 Questions MCQ Test - VITEEE Maths Test - 10

VITEEE Maths Test - 10 for JEE 2024 is part of JEE preparation. The VITEEE Maths Test - 10 questions and answers have been prepared according to the JEE exam syllabus.The VITEEE Maths Test - 10 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for VITEEE Maths Test - 10 below.
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VITEEE Maths Test - 10 - Question 1
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If x +y = 60; x, y > 0, then maximum value of xy3 is

VITEEE Maths Test - 10 - Question 2
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The area bounded by the x-axis and the curve y = 4x - x2 - 3 is

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VITEEE Maths Test - 10 - Question 3
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The value of arg [(1-i√3)/(1+i√3)] is

VITEEE Maths Test - 10 - Question 4
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If R → R is continuous such that then f(100) =
VITEEE Maths Test - 10 - Question 5
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VITEEE Maths Test - 10 - Question 6
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(x + y + z) (x + y ω + z ω2) (x + yω2 + z ω)   =
VITEEE Maths Test - 10 - Question 7
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VITEEE Maths Test - 10 - Question 8
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Detailed Solution for VITEEE Maths Test - 10 - Question 8

Multiply R1, R2, R3 by a, b, c respectively and divide by abc
Take abc common from C3 so that C1, C3 are identical

VITEEE Maths Test - 10 - Question 9
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Which equation has the solution y=A sinx+B cosx?
VITEEE Maths Test - 10 - Question 10
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The differential equation with respect to the curve y=emx is
VITEEE Maths Test - 10 - Question 11
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The solution of the differential equation x2 dy/dx-xy=1+cos y/x is
VITEEE Maths Test - 10 - Question 12
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Let f(x) = log |x - 1|, x ≠ 1. The value of is
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VITEEE Maths Test - 10 - Question 13
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The solution of the equation (1+x2)(1+y)dy+(1+x)(1+y2)dx=0 is
VITEEE Maths Test - 10 - Question 14
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(d/dx)[cos(1-x2)2]=
VITEEE Maths Test - 10 - Question 15
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If f x = log x , g x = x3 then f[ga]+f[gb]

=
VITEEE Maths Test - 10 - Question 16
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If ∫(sin 2x - cos 2x)dx = (1/√2) sin (2x-a) + b
VITEEE Maths Test - 10 - Question 17
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If then I is equal to
VITEEE Maths Test - 10 - Question 18
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VITEEE Maths Test - 10 - Question 19
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The valuie of sin-1 cos(sin-1 x) + cos-1 sin (cos-1 x) is
VITEEE Maths Test - 10 - Question 20
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True statement for
VITEEE Maths Test - 10 - Question 21
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Consider the sentence: x < 5
Which of the following integers makes this open sentence true?
Detailed Solution for VITEEE Maths Test - 10 - Question 21

The only number less than 5 in the list of answers is 4.

VITEEE Maths Test - 10 - Question 22
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If |A| represents the determinant of a square matrix of order 3 then (-2A)=
VITEEE Maths Test - 10 - Question 23
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If B is a non-singular matrix and A is a square matrix, then det (B-1AB) =
VITEEE Maths Test - 10 - Question 24
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Five seats are vacant in a railway compartment, then in how many ways can three passengers be seated on these seats?
VITEEE Maths Test - 10 - Question 25
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Two dice are thrown simultaneously. The probability of obtaining a total score of seven is
Detailed Solution for VITEEE Maths Test - 10 - Question 25

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.

VITEEE Maths Test - 10 - Question 26
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If S is a sample space, , where A, B are two mutually exclusive events, then P(A) =
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VITEEE Maths Test - 10 - Question 27
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In a Poisson distribution mean is 16, then S.D is
VITEEE Maths Test - 10 - Question 28
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In Δ A B C , i f A = 600then

VITEEE Maths Test - 10 - Question 29
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113 + 123 + 133 + ... + 203 is
VITEEE Maths Test - 10 - Question 30
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For a frequency distribution mean deviation from mean is computed by
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