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JEE Main Practice Test- 28 - JEE MCQ


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30 Questions MCQ Test - JEE Main Practice Test- 28

JEE Main Practice Test- 28 for JEE 2024 is part of JEE preparation. The JEE Main Practice Test- 28 questions and answers have been prepared according to the JEE exam syllabus.The JEE Main Practice Test- 28 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Main Practice Test- 28 below.
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JEE Main Practice Test- 28 - Question 1
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The area bounded by the curve y = x3, x-axis and two ordinates x = 1 to x = 2 is equal to

JEE Main Practice Test- 28 - Question 2
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If x is so small that x3 and higher power of x may be neglected, then [(1+x)3/2 - [1+(1/2)x]3] / [(1-x)1/2] may be approximated as

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JEE Main Practice Test- 28 - Question 3
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JEE Main Practice Test- 28 - Question 4
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Circle x2+y2+4x-4y+4=0 touches
JEE Main Practice Test- 28 - Question 5
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Area of the triangle in the Argand diagram formed by the complex numbers z, iz and z + iz is
JEE Main Practice Test- 28 - Question 6
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The solution of differential equation (dy/dx)=[((1+x)y)/((y-1)x)] is
JEE Main Practice Test- 28 - Question 7
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If f x and if f is continuous at x = 1 then f(1) =
JEE Main Practice Test- 28 - Question 8
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i243 =
JEE Main Practice Test- 28 - Question 9
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The solution of the equation (1-x2)dy+xydx=xy2dx is
JEE Main Practice Test- 28 - Question 10
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f(x)=x3-27x+5 is increasing when
JEE Main Practice Test- 28 - Question 11
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The eccentricity of the ellipse 9x2 + 5y2 - 30y = 0 is
JEE Main Practice Test- 28 - Question 12
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The negation of the statement ' he is rich and happy' is given by
JEE Main Practice Test- 28 - Question 13
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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): is discontinuous for integral values of x.
Reason(R): f(x) is not defined for integral values of x.
JEE Main Practice Test- 28 - Question 14
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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): The function f (x) ≡ x5 − 5x3 − 20x + 7 attains its maximum at x = − 1 .
Reason(R) : f ′ (−1)   = 0
JEE Main Practice Test- 28 - Question 15
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Detailed Solution for JEE Main Practice Test- 28 - Question 15

JEE Main Practice Test- 28 - Question 16
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In the following question, a Statement-1 is given followed by a corresponding Statement-2 just below it. Read the statements carefully and mark the correct answer-
Tangents are drawn from the point (17,7) to the circle x2+y2=169.
Statement-1:
The tangents are mutually perpendicular.
Statement-2:
The locus of the points from which mutually perpendicular tangents can be drawn to the given circle is x2+y2=338.
JEE Main Practice Test- 28 - Question 17
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In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A): If the 21st and 22nd terms in the expansion of (1+x)44 are equal, then the value of x is 7/8.
Reason(R): In the expansion of (x+y)n, (r+1)th term , Tr+1 = nCr+1xn-r+1 yr+1.
JEE Main Practice Test- 28 - Question 18
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The number of solutions of 2x + y = 4, x - 2 y = 2, 3x + 5y = 6 is
JEE Main Practice Test- 28 - Question 19
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The maximum value of x-x is
JEE Main Practice Test- 28 - Question 20
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The mean annual salary of all employees in a company is Rs.25,000. The mean salaries of male and female employees are Rs.27,000 and Rs.17,000 respectively, the percentage of males and females employees by the company is
JEE Main Practice Test- 28 - Question 21
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The focus of the parabola (y-2)2=20(x+3) is
JEE Main Practice Test- 28 - Question 22
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Everybody in a room shakes hand with every body else. The total number of hand-shakes is 66.The number of persons in the room is
JEE Main Practice Test- 28 - Question 23
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If A and B are events such that P(A)>0 and P(B)≠1, then P(A̅/B̅) is equal to
JEE Main Practice Test- 28 - Question 24
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If x is a positive real number different from 1, then the number 1/1 + √x, 1/1 - x , 1/1 - √x, .... are in
JEE Main Practice Test- 28 - Question 25
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Let A = {a,b,c}, B = {b,c,d}, C = {a,b,d,e}, then A ∩ (B ∪ C) is
JEE Main Practice Test- 28 - Question 26
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For a binomial distribution

JEE Main Practice Test- 28 - Question 27
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The distance of the point (2,3,4) from the plane 3x-6y+2z+11=0 is
JEE Main Practice Test- 28 - Question 28
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The value of cos 20ºcos40ºcos60ºcos80º is equal to
JEE Main Practice Test- 28 - Question 29
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If |a+b|=|a-b|, then the angle between a and b is
JEE Main Practice Test- 28 - Question 30
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A force of magnitude 5 units acting along the vector 2 î - 2 ĵ + k̂ displaces the point of application from (1, 2, 3) to (5, 3, 7), then the work done is
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