JEE Main Maths Mock Test- 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.

Accepted Answer

Both Assertion and Reason are true and Reason is the correct explanation of Assertion.

Answer

Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.

Answer

Assertion is true but Reason is false.

Answer

Assertion is false but Reason is true.

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-

Accepted Answer

Both Assertion and Reason are true and Reason is the correct explanation of Assertion.

Answer

Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.

Answer

Assertion is true but Reason is false.

Answer

Assertion is false but Reason is true.

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

Accepted Answer

Answer

Answer

Answer

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

Accepted Answer

x + 3y - 15 = 0

Answer

x - 3y + 15 = 0

Answer

x - 3y - 15 = 0

Answer

2x + 3y - 15 = 0

Question 5

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

Accepted Answer

sin x sin y = C

Answer

sin x/sin y = C

Answer

cos x + cos y =C

Answer

sin x + sin y = C

Question 6

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

Accepted Answer

Answer

Answer

Answer

Question 7

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

Accepted Answer

2 |z₁|² + 2 |z₂|²

Answer

2 |z₁|²|z₂|²

Answer

|z₁|²+ |z₂|²

Answer

2 |z₁||z₂|

Question 8

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

Accepted Answer

Straight line

Answer

<p>Circle</p>

Answer

<p>Parabola</p>

Answer

<p>Hyperbola</p>

Question 9

If y=sin((1+x²)/(1-x²)), (dy/dx)=

Accepted Answer

[(4x)/(1-x²)]. cos[(1+x²)/(1-x²)]

Answer

[(4)/(1-x²)²]. cos[(1+x²)/(1-x²)]

Answer

[(x)/(1-x²)²]. cos[(1+x²)/(1-x²)]

Answer

[(x)/(1-x²)]. cos[(1+x²)/(1-x²)]

Question 10

The minimum value of sinx + cosx is

Accepted Answer

Answer

Answer

Answer

Question 11

Which of the following is a Contradiction ?

Accepted Answer

(p ∧ q) ∧ ∼ (p ∨ q)

Answer

p ∨ (∼ p ∧ q)

Answer

(p ⇒ q) ⇒ p

Answer

None of these

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

Accepted Answer

Assertion is true but Reason is false.

Answer

Both Assertion and Reason are true and Reason is the correct explanation of Assertion.

Answer

Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.

Answer

Assertion is false but Reason is true.

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

Accepted Answer

Statement-1 is True, Statement-2 is True ; Statement-2 is a correct explanation for Statement-1

Answer

Statement-1 is True, Statement-2 is True ; Statement-2 is not a correct explanation for Statement-1

Answer

Statement-1 is True, Statement-2 is False

Answer

Statement-1 is False, Statement-2 is True

Question 14

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

Accepted Answer

Answer

Answer

Answer

Question 15

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

Accepted Answer

Answer

Answer

Answer

Question 16

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

Accepted Answer

t₁ t₂ = − 1

Answer

t₁ t₂ = 1

Answer

t₁ t₂ = 2

Answer

t₁ t₂ = − 2

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

Accepted Answer

Answer

Answer

Answer

Question 18

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

Accepted Answer

Answer

Answer

Answer

Question 19

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

Accepted Answer

(-11/√290)

Answer

Answer

(√11/290)

Answer

-(√11/290)

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

Accepted Answer

Answer

cos⁻¹ (1/65)

Answer

Answer

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

Accepted Answer

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 -

Accepted Answer

Question 23

Consider then I₁ + I₂ is equal to

Accepted Answer

Question 24

If m = is equal to:-

Accepted Answer

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 -

Accepted Answer

JEE Main & Advanced Maths Mock Test- 8 Free Online Test 2026

Full Mock Test & Solutions: JEE Main Maths Mock Test- 8 (25 Questions)

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-

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

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

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

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

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

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

If y=sin((1+x²)/(1-x²)), (dy/dx)=

The minimum value of sinx + cosx is

Which of the following is a Contradiction ?

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

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

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

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

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

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

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

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

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

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 -

Consider then I₁ + I₂ is equal to

If m = is equal to:-

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 -

JEE Main & Advanced Mock Test Series 2026

JEE Main & Advanced Mock Test Series 2026

Top Courses for JEE

About this JEE Mock Test

Explore more JEE Resources

JEE Main & Advanced Maths Mock Test- 8 Free Online Test 2026

Full Mock Test & Solutions: JEE Main Maths Mock Test- 8 (25 Questions)

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-

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

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

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

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

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

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

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

The minimum value of sinx + cosx is

Which of the following is a Contradiction ?

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

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

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

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

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

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

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

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

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

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 -

Consider then I1 + I2 is equal to

If m = is equal to:-

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 -

JEE Main & Advanced Mock Test Series 2026

JEE Main & Advanced Mock Test Series 2026

Top Courses for JEE

About this JEE Mock Test

Explore more JEE Resources

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

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

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

If y=sin((1+x²)/(1-x²)), (dy/dx)=

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

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

Consider then I₁ + I₂ is equal to

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 -