JEE Main Mathematics Mock - 7


25 Questions MCQ Test Mock Test Series for JEE Main & Advanced 2021 | JEE Main Mathematics Mock - 7


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This mock test of JEE Main Mathematics Mock - 7 for JEE helps you for every JEE entrance exam. This contains 25 Multiple Choice Questions for JEE JEE Main Mathematics Mock - 7 (mcq) to study with solutions a complete question bank. The solved questions answers in this JEE Main Mathematics Mock - 7 quiz give you a good mix of easy questions and tough questions. JEE students definitely take this JEE Main Mathematics Mock - 7 exercise for a better result in the exam. You can find other JEE Main Mathematics Mock - 7 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) :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.

Solution:
QUESTION: 2

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

Solution:
QUESTION: 3

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

Solution:
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

Solution:
QUESTION: 5

Solution:
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

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QUESTION: 7
The solution of the equation |z| - z = 1 + 2i is
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QUESTION: 8
For solving dy/dx=4x+y+1 suitable substitution is
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QUESTION: 9

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

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QUESTION: 10

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

Solution:

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

QUESTION: 11

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

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): If f : R → R defined by f (x) = x3 then f is one one onto
Reason(R) : Function f is strictly decreasing on R.

Solution:
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.

Solution:
QUESTION: 14

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

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QUESTION: 15

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

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QUESTION: 16

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

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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

Solution:
QUESTION: 18

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

Solution:
QUESTION: 19

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

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QUESTION: 20
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
Solution:
*Answer can only contain numeric values
QUESTION: 21

Let   then the value of a + b is:


Solution:

*Answer can only contain numeric values
QUESTION: 22

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


Solution:
*Answer can only contain numeric values
QUESTION: 23

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 :-


Solution:
*Answer can only contain numeric values
QUESTION: 24

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 ?


Solution:

*Answer can only contain numeric values
QUESTION: 25

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


Solution:

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