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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,
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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 Z_{1} R Z_{2} ⇔ Z_{1} − Z_{2} 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 x^{2}+y^{2}=a^{2} if

Solution:

QUESTION: 3

The area contained between the curve x y = a^{2} , 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 x^{2}+y^{2}-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 α_{1} , α_{2} , . . . , α_{n} be the roots of x^{n} − 1 = 0 with α_{1} = 1 .

Assertion(A) :For any positive integer is again a positive integer.

Reason(R) :For any positive integer

Solution:

QUESTION: 7

The solution of the equation |z| - z = 1 + 2i is

Solution:

QUESTION: 8

For solving dy/dx=4x+y+1 suitable substitution is

Solution:

QUESTION: 9

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

Solution:

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) = x^{3} 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" + a^{2} y = 0 .

Reason(R) : y = sin (ax + b) is a trigonometric function.

Solution:

QUESTION: 14

If A is a square matrix such that A^{2} = I, then A⁻^{1} is equal to

Solution:

QUESTION: 15

If x+y+1=0 tocuhes the parabola y^{2}=λx,then λ is equal to

Solution:

QUESTION: 16

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

Solution:

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, ∑x^{2} = 8, ∑y^{2} = 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 x^{2}/9 + y^{2}/16 = 1 if a =

Solution:

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) = [2x^{3} – 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 b^{2} is:-

Solution:

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