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JEE Main Maths Mock Test- 7 - JEE MCQ


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25 Questions MCQ Test JEE Main & Advanced Mock Test Series - JEE Main Maths Mock Test- 7

JEE Main Maths Mock Test- 7 for JEE 2024 is part of JEE Main & Advanced Mock Test Series preparation. The JEE Main Maths Mock Test- 7 questions and answers have been prepared according to the JEE exam syllabus.The JEE Main Maths Mock Test- 7 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- 7 below.
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JEE Main Maths Mock Test- 7 - 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) :A relation R on the set of complex number defined by Z1 R Z2 ⇔ Z1 − Z2 is real, is an equivalence relation.
Reason(R) :Reflexive and symmetric properties may not imply transitivity.

JEE Main Maths Mock Test- 7 - Question 2

The area contained between the curve x y = a2 , the vertical line x = a, x = 4a (a > 0) and x -axis is

JEE Main Maths Mock Test- 7 - Question 3

Straight line px+qy+r=0 touches the circle x2+y2=a2 if

JEE Main Maths Mock Test- 7 - Question 4

A circle passes through (0,0) and its centre lies on y=x. If it cuts the circle x2+y2-4x-6y+10=0 orthogonally, then its equation is

JEE Main Maths Mock Test- 7 - Question 5

JEE Main Maths Mock Test- 7 - Question 6

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-
Let n ≥ 3 and let the complex numbers α1 , α2 , . . . , αn be the roots of xn − 1 = 0 with α1 = 1 .
Assertion(A) :For any positive integer is again a positive integer.
Reason(R) :For any positive integer

JEE Main Maths Mock Test- 7 - Question 7
The solution of the equation |z| - z = 1 + 2i is
JEE Main Maths Mock Test- 7 - Question 8
For solving dy/dx=4x+y+1 suitable substitution is
JEE Main Maths Mock Test- 7 - Question 9

If y=x2(x-2)2, then the values of x for which y is increasing, are

JEE Main Maths Mock Test- 7 - Question 10

Let the function f be defined by f(x) = 2x + 1/1- 3x. Then f⁻1(x) is

JEE Main Maths Mock Test- 7 - Question 11

When y = 3, which of the following is FALSE?

Detailed Solution for JEE Main Maths Mock Test- 7 - Question 11

Remember what is TRUE: 3 is prime, odd and 2(3) is even.
Choice 1: T and T is TRUE
Choice 2: T or F is TRUE
Choice 3: F and T is FALSE
Choice 4: T and T is TRUE

JEE Main Maths Mock Test- 7 - 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): If f : R → R defined by f (x) = x3 then f is one one onto
Reason(R) : Function f is strictly decreasing on R.

JEE Main Maths Mock Test- 7 - 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): y = sin (ax + b) is a general solution of y" + a2 y = 0 .
Reason(R) : y = sin (ax + b) is a trigonometric function.

JEE Main Maths Mock Test- 7 - Question 14

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

JEE Main Maths Mock Test- 7 - Question 15

If x+y+1=0 tocuhes the parabola y2=λx,then λ is equal to

JEE Main Maths Mock Test- 7 - Question 16

A polygon has 44 diagonals. The number of its sides is

JEE Main Maths Mock Test- 7 - Question 17

If P(B)=(3/4), P(A∩B∩C̅) = (1/3) and P(A̅∩B∩C̅) = 1/3, then P(B∩C) is

JEE Main Maths Mock Test- 7 - Question 18

Given n = 10, ∑x = 4, ∑y = 3, ∑x2 = 8, ∑y2 = 9 and ∑xy = 3, then coefficient of correlation is

JEE Main Maths Mock Test- 7 - Question 19
The equation of sides of a quadrilateral AB, BC, CD and DA are x+2y=3, x=1, x-3y=4, 5x+y+12=0, the angle between diagonals AC and AD is
JEE Main Maths Mock Test- 7 - Question 20

The straight line x + y = a will be a tangent to the ellipse x2/9 + y2/16 = 1 if a =

*Answer can only contain numeric values
JEE Main Maths Mock Test- 7 - Question 21

Let   then the value of a + b is:


Detailed Solution for JEE Main Maths Mock Test- 7 - Question 21

*Answer can only contain numeric values
JEE Main Maths Mock Test- 7 - Question 22

Let f(x) = [2x3 – 5]; then number of points in (1, 2) where the function is discontinuous are where [.] → G.I.F.


*Answer can only contain numeric values
JEE Main Maths Mock Test- 7 - Question 23

Let f(x) be a function given by
f(x + y) = f(x) + f(y) for all x, y. Let f '(5) exist and is equal to 7, then ?


Detailed Solution for JEE Main Maths Mock Test- 7 - Question 23

*Answer can only contain numeric values
JEE Main Maths Mock Test- 7 - Question 24

The equation of the perpendicular bisectors of the sides AB and AC of a triangle ABC are y = x and y = –x, respectively. If the point A is (1, 2), then the area of ΔABC is :-


*Answer can only contain numeric values
JEE Main Maths Mock Test- 7 - Question 25

If the foci of the ellipse  and the hyperbola  coincide, then the value of b2 is:-


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