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JEE Main Mathematics Mock - 8


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25 Questions MCQ Test JEE Main & Advanced Mock Test Series | JEE Main Mathematics Mock - 8

JEE Main Mathematics Mock - 8 for JEE 2022 is part of JEE Main & Advanced Mock Test Series preparation. The JEE Main Mathematics Mock - 8 questions and answers have been prepared according to the JEE exam syllabus.The JEE Main Mathematics Mock - 8 MCQs are made for JEE 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Main Mathematics Mock - 8 below.
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JEE Main Mathematics Mock - 8 - Question 1

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 a 2 x 2 matrix commutes with every 2 x 2 matrix, then it is a scalar matrix.
Reason(R) :A 2 x 2 scalar matrix commutes with every 2 x 2 matrix.

JEE Main Mathematics Mock - 8 - Question 2

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-

JEE Main Mathematics Mock - 8 - Question 3

The area, in square unit, of the region bounded by the curve x2 = 4y , the line x = 2 and the x-axis is

JEE Main Mathematics Mock - 8 - Question 4

The radical axis of the circles, belongs to the coaxial system of circles whose limiting points are (1,3) and (2,6) is

JEE Main Mathematics Mock - 8 - Question 5

If y=sin((1+x2)/(1-x2)), (dy/dx)=

Detailed Solution for JEE Main Mathematics Mock - 8 - Question 5

JEE Main Mathematics Mock - 8 - Question 6

If z₁ and z₂ are any two complex numbers then |z₁ + z₂|2 + |z₁ - z₂|2 =

JEE Main Mathematics Mock - 8 - Question 7

If the line 2x - y + k = 0 is a diameter of the circle x2 + y2 + 6x -6y + 5 =0, then k is equal to

JEE Main Mathematics Mock - 8 - Question 8
The solution of the differential equation cos x sin y dx + sin x cos y dy =0 is
JEE Main Mathematics Mock - 8 - Question 9

The complex equation |z + 1 − i| = |z + i − 1| represents a

JEE Main Mathematics Mock - 8 - Question 10
The minimum value of sinx + cosx is
JEE Main Mathematics Mock - 8 - Question 11

Which of the following is a Contradiction ?

JEE Main Mathematics Mock - 8 - Question 12

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): Three vectors
Reason (R): The coplanar vectors are linearly independent

JEE Main Mathematics Mock - 8 - Question 13

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-
Consider the system of equations
x - 2y + 3z = -1
- x + y - 2z = k
x - 3y + 4z = 1
Statement-1:
The system of equations has no solution for k ≠3.
Statement-2:
The determinant

JEE Main Mathematics Mock - 8 - Question 14
If the traces of the matrices A and B are 20 and -8, then the trace of (A + B)=
JEE Main Mathematics Mock - 8 - Question 15

Twelve students compete for a race. The number of ways in which first three prizes can be taken is

JEE Main Mathematics Mock - 8 - Question 16

The tangents at the points a on the parabola are at right angles if

JEE Main Mathematics Mock - 8 - Question 17
If the coefficient of correlation between x and y is 0.28, covariance between x and y is 7.6, and the variance of x is 9, then the standard deviation of the y series is
JEE Main Mathematics Mock - 8 - Question 18

Points (0,0), (2,-1) and (9,2) are vertices of a triangle, then cosB =

JEE Main Mathematics Mock - 8 - Question 19
8 coins are tossed simultaneously. The probability of getting at least 6 heads is
JEE Main Mathematics Mock - 8 - Question 20

The angle between the lines (x - 1)/1 = (y - 1)/1 = (z - 1)/2 and (x - 1)/(- √3 - 1) = (y - 1)/(√3 - 1) = (z - 1)/4 is

*Answer can only contain numeric values
JEE Main Mathematics Mock - 8 - Question 21

If function ƒ(x) = x3 + ax2 + bx + c is monotonically increasing ∀ x ∈ R, where a & b are prime numbers less than 10, then number of possible ordered pairs (a,b) is


Detailed Solution for JEE Main Mathematics Mock - 8 - Question 21

a, b ∈ {2, 3, 5, 7}
ƒ '(x) = 3x2 + 2ax + b ≥ 0    ∀ x ∈ R
D ≤ 0
4a2 – 12b ≤ 0
4(a2 – 3b) ≤ 0
a = 2    b = 2,3,5,7
a = 3    b = 3,5,7
a = 5    No solution
a = 7    No solution 
Ordered pairs (a,b) are (2,2), (2,3), (2,5), (2,7), (3, 3), (3,5) & (3,7)

*Answer can only contain numeric values
JEE Main Mathematics Mock - 8 - Question 22

Suppose that ƒ is differentiable for all x such that ƒ'(x) ≤ 2 for all x. If ƒ(1) = 2 and ƒ(4) = 8 then ƒ(2) has the value equal to -


Detailed Solution for JEE Main Mathematics Mock - 8 - Question 22

*Answer can only contain numeric values
JEE Main Mathematics Mock - 8 - Question 23

Consider then I1 + I2 is equal to 


Detailed Solution for JEE Main Mathematics Mock - 8 - Question 23

*Answer can only contain numeric values
JEE Main Mathematics Mock - 8 - Question 24

If m = is equal to:-


Detailed Solution for JEE Main Mathematics Mock - 8 - Question 24

*Answer can only contain numeric values
JEE Main Mathematics Mock - 8 - Question 25

Let y = g(x) be the inverse of a bijective mapping f : R → R, f(x) = 3x3 + 2x. The area bounded by graph of g(x), the x-axis and the ordinate at x = 5 is -


Detailed Solution for JEE Main Mathematics Mock - 8 - Question 25

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