JEE Main Mathematics Mock - 8 | 25 Questions MCQ Test

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Description

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, long questions & short questions for JEE on EduRev as well by searching above.

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.

A.
Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
B.
Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.
C.
Assertion is true but Reason is false.
D.
Assertion is false but Reason is true.

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-

A.
Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
B.
Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.
C.
Assertion is true but Reason is false.
D.
Assertion is false but Reason is true.

Solution:

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

A.
1
B.
2/3
C.
4/3
D.
8/3

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

A.
x - 3y + 15 = 0
B.
x + 3y - 15 = 0
C.
x - 3y - 15 = 0
D.
2x + 3y - 15 = 0

Solution:

QUESTION: 5

If y=sin((1+x²)/(1-x²)), (dy/dx)=

A.
[(4)/(1-x²)²]. cos[(1+x²)/(1-x²)]
B.
[(x)/(1-x²)²]. cos[(1+x²)/(1-x²)]
C.
[(x)/(1-x²)]. cos[(1+x²)/(1-x²)]
D.
[(4x)/(1-x²)]. cos[(1+x²)/(1-x²)]

Solution:

QUESTION: 6

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

A.
2 |z₁|²|z₂|²
B.
2 |z₁|² + 2 |z₂|²
C.
|z₁|²+ |z₂|²
D.
2 |z₁||z₂|

Solution:

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

A.
3
B.
6
C.
9
D.
12

Solution:

QUESTION: 8

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

A.
sin x/sin y = C
B.
cos x + cos y =C
C.
sin x + sin y = C
D.
sin x sin y = C

Solution:

QUESTION: 9

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

A.
Straight line
B.
Circle
C.
Parabola
D.
Hyperbola

Solution:

QUESTION: 10

The minimum value of sinx + cosx is

A.
- √2
B.
√2
C.
- 2√2
D.
0

Solution:

QUESTION: 11

Which of the following is a Contradiction ?

A.
(p ∧ q) ∧ ∼ (p ∨ q)
B.
p ∨ (∼ p ∧ q)
C.
(p ⇒ q) ⇒ p
D.
None of these

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

A.
Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
B.
Both Assertion and Reason are true and Reason is not the correct explanation of Assertion.
C.
Assertion is true but Reason is false.
D.
Assertion is false but Reason is true.

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

A.
Statement-1 is True, Statement-2 is True ; Statement-2 is a correct explanation for Statement-1
B.
Statement-1 is True, Statement-2 is True ; Statement-2 is not a correct explanation for Statement-1
C.
Statement-1 is True, Statement-2 is False
D.
Statement-1 is False, Statement-2 is True

Solution:

QUESTION: 14

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

A.
- 160
B.
6
C.
12
D.
28

Solution:

QUESTION: 15

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

A.
(12)! - 3
B.
(12)! / 3!
C.
3!
D.
12.11.10

Solution:

QUESTION: 16

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

A.
t₁ t₂ = − 1
B.
t₁ t₂ = 1
C.
t₁ t₂ = 2
D.
t₁ t₂ = − 2

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

A.
9.8
B.
10.1
C.
9.05
D.
10.05

Solution:

QUESTION: 18

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

A.
(11/290)
B.
(√11/290)
C.
(-11/290)
D.
-(√11/290)

Solution:

QUESTION: 19

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

A.
57/64
B.
229/256
C.
7/64
D.
37/256

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

A.
cos⁻¹ (1/65)
B.
π/6
C.
π/3
D.
π/4

Solution: