JEE Main Maths Mock Test- 6 - JEE MCQ

JEE Main Maths Mock Test- 6 - JEE MCQ

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25 Questions MCQ Test Mock Tests for JEE Main and Advanced 2024 - JEE Main Maths Mock Test- 6

JEE Main Maths Mock Test- 6 for JEE 2024 is part of Mock Tests for JEE Main and Advanced 2024 preparation. The JEE Main Maths Mock Test- 6 questions and answers have been prepared according to the JEE exam syllabus.The JEE Main Maths Mock Test- 6 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- 6 below.
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JEE Main Maths Mock Test- 6 - 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 Maths Mock Test- 6 - 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 committee of n persons is to be formed out of 30 persons. Assertion(A) : The value of n for which the number of committees is maximum is n = 15 Reason(R) : In the expansion of (1 + x)k , k ∈ N , the middle term has the greatest binomial coefficient.

JEE Main Maths Mock Test- 6 - Question 3

The general solution of the equation x2(dy/dx)=2 is

JEE Main Maths Mock Test- 6 - Question 4

The area of the region bounded the curve y = 2x - x2 and the line y = x is

JEE Main Maths Mock Test- 6 - Question 5

If line y=2x is a chord of the circle x2+y2-10x=0, the equation of the circle drawn on the chord assuming it as a diameter is

JEE Main Maths Mock Test- 6 - Question 6

If (cos θ + i sin θ)(cos 2θ + i sin 2θ).....(cos mθ + i + sin mθ) = 1 then the value of θ ,is (m is an integer)

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

JEE Main Maths Mock Test- 6 - Question 7

If circles x2+y2+2ax+c=0 and x2+y2+2by+c=0 touch each other, then

JEE Main Maths Mock Test- 6 - Question 8

If the amplitude of z − 2 − 3i is π/4 , then the locus of z = x + iy is

JEE Main Maths Mock Test- 6 - Question 9

then f ′ (1)  =

JEE Main Maths Mock Test- 6 - Question 10

The negation of the statement ' he is rich and happy' is given by

JEE Main Maths Mock Test- 6 - 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): The function f(x)=sin x is symmetric about the line x = 0
Reason (R): Every even function is symmetric about y-axis

JEE Main Maths Mock Test- 6 - Question 12

If N N + denotes the set of all positive integers and if f : NN + → N is defined by f (n) = the sum of positive divisors of n then f (2 k . 3), where k is a positive integer is

Detailed Solution for JEE Main Maths Mock Test- 6 - Question 12

f(2k. 3) = The sum of positive divisors of

JEE Main Maths Mock Test- 6 - 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): If n is a positive integer then 32n + 7 is divisible by 8
Reason (R): G.C.F. of 16 and 88 is 8

JEE Main Maths Mock Test- 6 - Question 14

If 3, -2, are the eigen values of a non-singular matrix A and |A| = 4, then the eigen values of adj A are

JEE Main Maths Mock Test- 6 - Question 15

In throwing of two dice, the probability of getting a multiple of 4 is

JEE Main Maths Mock Test- 6 - Question 16

The combined equation to the tangents to the parabola y2 = 4ax from an external point A (x1, y1) is

JEE Main Maths Mock Test- 6 - Question 17

If nPr=840, nCr=35, then n=

Detailed Solution for JEE Main Maths Mock Test- 6 - Question 17

JEE Main Maths Mock Test- 6 - Question 18

Mode is approximately given by

JEE Main Maths Mock Test- 6 - Question 19

The equation of line passing through intersection point of lines x+5y+7=0 and 3x+2y-5=0 and perpendicular to line 7x+2y-5=0 is

JEE Main Maths Mock Test- 6 - Question 20
The subnormal to the curve xy = c2 at any point varies directly as
*Answer can only contain numeric values
JEE Main Maths Mock Test- 6 - Question 21

The number of solutions of the equation tan2x –sec6x + 1 = 0 in [0, 4π] is :-

Detailed Solution for JEE Main Maths Mock Test- 6 - Question 21

sec6x = 1 + tan2x ⇒ sec6x = sec2x
if |secx| > 1 then sec6x > sec2x
Hence only possible solution is sec2x = 1 ⇒ x = nπ
Hence in [0, 4π] possible solutions are 0, π, 2π, 3π, 4π

*Answer can only contain numeric values
JEE Main Maths Mock Test- 6 - Question 22

If solution of equation 3cos2θ – 2√3 sin θ cos θ – 3sin2θ = 0 are nπ + π/r and nπ + π/s then |r – s| is equal to:-

Detailed Solution for JEE Main Maths Mock Test- 6 - Question 22

Equation can be written as
3tan2θ + 2√3 tanθ – 3 = 0
⇒ tan θ = 1/√3 and tan θ = -√3
⇒ θ = nπ + π/6 or θ = nπ – π/3
⇒ |r – s| = |6 + 3| = 9

*Answer can only contain numeric values
JEE Main Maths Mock Test- 6 - Question 23

If (x1 – x2)2 + (y1 – y2)2 = a2 ;
(x2 – x3)2 + (y2 – y3)2 = b2 ;
(x3 – x1)2 + (y3 – y1)2 = c2  and
= (a + b + c)(b + c – a)(c + a – b)(a + b – c)
Then the value of k is :-

Detailed Solution for JEE Main Maths Mock Test- 6 - Question 23

*Answer can only contain numeric values
JEE Main Maths Mock Test- 6 - Question 24

The interior angles of a convex polygon form an arithmetic progression with a common difference of 4°. Determine the number of sides of the polygon if its largest interior angle is 172°:-

Detailed Solution for JEE Main Maths Mock Test- 6 - Question 24

*Answer can only contain numeric values
JEE Main Maths Mock Test- 6 - Question 25

equals :-

Detailed Solution for JEE Main Maths Mock Test- 6 - Question 25

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