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This mock test of JEE Main Mathematics Mock - 8 for JEE helps you for every JEE entrance exam.
This contains 25 Multiple Choice Questions for JEE JEE Main Mathematics Mock - 8 (mcq) to study with solutions a complete question bank.
The solved questions answers in this JEE Main Mathematics Mock - 8 quiz give you a good mix of easy questions and tough questions. JEE
students definitely take this JEE Main Mathematics Mock - 8 exercise for a better result in the exam. You can find other JEE Main Mathematics Mock - 8 extra questions,
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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.

Solution:

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-

Solution:

QUESTION: 3

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

Solution:

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

Solution:

QUESTION: 5

If y=sin((1+x^{2})/(1-x^{2})), (dy/dx)=

Solution:

QUESTION: 6

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

Solution:

QUESTION: 7

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

Solution:

QUESTION: 8

The solution of the differential equation cos x sin y dx + sin x cos y dy =0 is

Solution:

QUESTION: 9

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

Solution:

QUESTION: 10

The minimum value of sinx + cosx is

Solution:

QUESTION: 11

Which of the following is a Contradiction ?

Solution:

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

Solution:

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

Solution:

QUESTION: 14

If the traces of the matrices A and B are 20 and -8, then the trace of (A + B)=

Solution:

QUESTION: 15

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

Solution:

QUESTION: 16

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

Solution:

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

Solution:

QUESTION: 18

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

Solution:

QUESTION: 19

8 coins are tossed simultaneously. The probability of getting at least 6 heads is

Solution:

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

Solution:

*Answer can only contain numeric values

QUESTION: 21

If function ƒ(x) = x^{3} + ax^{2} + 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

Solution:

a, b ∈ {2, 3, 5, 7}

ƒ '(x) = 3x^{2} + 2ax + b ≥ 0 ∀ x ∈ R

D ≤ 0

4a^{2} – 12b ≤ 0

4(a^{2} – 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

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 -

Solution:

*Answer can only contain numeric values

QUESTION: 23

Consider then I_{1} + I_{2} is equal to

Solution:

*Answer can only contain numeric values

QUESTION: 24

If m = is equal to:-

Solution:

*Answer can only contain numeric values

QUESTION: 25

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

Solution:

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