JEE Main Maths Mock Test- 9 - JEE MCQ

# JEE Main Maths Mock Test- 9 - JEE MCQ

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## 25 Questions MCQ Test Mock Tests for JEE Main and Advanced 2024 - JEE Main Maths Mock Test- 9

JEE Main Maths Mock Test- 9 for JEE 2024 is part of Mock Tests for JEE Main and Advanced 2024 preparation. The JEE Main Maths Mock Test- 9 questions and answers have been prepared according to the JEE exam syllabus.The JEE Main Maths Mock Test- 9 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Main Maths Mock Test- 9 below.
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JEE Main Maths Mock Test- 9 - 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-

JEE Main Maths Mock Test- 9 - 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- Assertion(A) :A relation R on the set of complex number defined by Z1 RZ2 ⇔ Z1 − Z2 is real, is an equivalence relation. Reason(R) :Reflexive and symmetric properties may not imply transitivity.

JEE Main Maths Mock Test- 9 - Question 3

### The are (in square units) of the region bounded by x2 = 8 y , x = 4 and x-axis is

JEE Main Maths Mock Test- 9 - Question 4

The limiting point of the system of co-axial circles x2+y2-6x-6y+4=0, x2+y2-2x-4y+3=0 is

JEE Main Maths Mock Test- 9 - Question 5

[(1-i)/(1+i)] =

JEE Main Maths Mock Test- 9 - Question 6

The number of tangents drawn from the point (-1,2) to x2+y2+2x-4y+4=0 is

Detailed Solution for JEE Main Maths Mock Test- 9 - Question 6

JEE Main Maths Mock Test- 9 - Question 7

The conjugate of complex number [(2+5i)/(4-3i)] is

JEE Main Maths Mock Test- 9 - Question 8

The solution of differential equation

JEE Main Maths Mock Test- 9 - Question 9

The maximum value of the function f(x)=[(x)/(4+x+x2)] at the interval [-1,1] will be

Detailed Solution for JEE Main Maths Mock Test- 9 - Question 9

JEE Main Maths Mock Test- 9 - Question 10

sin⁻1 (cos(sin⁻1 x) + cos⁻1 (sin(cos⁻1 x) is equal to

JEE Main Maths Mock Test- 9 - Question 11

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): y = sin (ax + b) is a general solution of y" + a^2y = 0 .
Reason(R) : y = sin (ax + b)  is a trigonometric function.

JEE Main Maths Mock Test- 9 - Question 12

The inverse of the converse of a conditional statement is the _______________.

Detailed Solution for JEE Main Maths Mock Test- 9 - Question 12

The inverse will insert NOT into the statement.
The converse will switch the IF and THEN.
The contrapositive does both.
The contrapositive is the inverse of the converse of the conditional statement.

JEE Main Maths Mock Test- 9 - Question 13

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 domain of the function
Reason (R): The domain of the function

JEE Main Maths Mock Test- 9 - Question 14

If A is a square matrix such that A2 = I, then A⁻1 is equal to

JEE Main Maths Mock Test- 9 - Question 15

The equation of the directrix to the parabola y2 − 2x − 6y − 5 = 0 is

JEE Main Maths Mock Test- 9 - Question 16

Two finite sets have m and n elements, the total number of subsets of the first set is 56 more than the total number of subsets of the second. The value of m and n are respectively

Detailed Solution for JEE Main Maths Mock Test- 9 - Question 16

Let A denote the first set and B denote the second set
We have, n(A) = 2m and n(B) = 2n
As per the question, we have
n(A) = 56 + n(B)
⇒ n(A) - n(B) = 56
⇒ 2m - 2n = 56
⇒ 2n (2m - n - 1)
⇒ 2n (2m - n - 1) = 8 x 7
⇒ 2n = 8 = 23 or (2m - n - 1) = 7
⇒ n = 3 or 2m - n = 8 = 23 = 26 - 3
⇒ n = 3 or m - n = 3
⇒ n = 3 or m = 6
Hence, the required values of m and n are 6 and 3 respectively

JEE Main Maths Mock Test- 9 - Question 17

A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is

JEE Main Maths Mock Test- 9 - Question 18

If in a moderately asymmetrical distribution mode and mean of the data are 6λ and 9λ respectively, then median is

JEE Main Maths Mock Test- 9 - Question 19

The sides of a parallelogram are lx + ny + n = 0, lx + my + n' = 0, mx + ly + n = 0, mx + ly + n' = 0, the angle between its diagonals is

JEE Main Maths Mock Test- 9 - Question 20
Equation of normal to the curve y = x(2 - x) at the point (2, 0) is
*Answer can only contain numeric values
JEE Main Maths Mock Test- 9 - Question 21

Let f : (–3, 3) → R be a differentiable function with f(0) = – 2 and f'(0) = – 1 and g(x) = (f(3f(x) + 6))then g'(0) is equal to.

*Answer can only contain numeric values
JEE Main Maths Mock Test- 9 - Question 22

At present a firm is manufacturing 2000 items. It is estimated that the rate of change of production P w.r.t. additional number of workers x is given by dP/dx = 100 - 12√x. If the firm employs 25 more workers, then the new level of production of items is:

*Answer can only contain numeric values
JEE Main Maths Mock Test- 9 - Question 23

It is given that events A and B of an experiment are such that P(A / B) = 1 / 4 and P (B / A) = 1/12 and chance of occurence of an event "only A" is 1/12  (where P(x) denote the probability of occurence of event 'x'). Value of 22P(B) equals

Detailed Solution for JEE Main Maths Mock Test- 9 - Question 23

*Answer can only contain numeric values
JEE Main Maths Mock Test- 9 - Question 24

If the function ƒ(x) = 2 + x2 – e–x and g(x) = ƒ–1(x), then the value of  equals

Detailed Solution for JEE Main Maths Mock Test- 9 - Question 24

g(ƒ(x)) = x ⇒ g'(ƒ(x)). ƒ'(x) = 1
ƒ(x) = 1 ⇒ x = 0
g'(1). ƒ'(0) = 1
ƒ'(x) = 2x + e–x
ƒ'(0) = 1
g'(1) = 1

*Answer can only contain numeric values
JEE Main Maths Mock Test- 9 - Question 25

Detailed Solution for JEE Main Maths Mock Test- 9 - Question 25

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