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JEE Main Maths Mock Test- 3 - JEE MCQ


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25 Questions MCQ Test Mock Tests for JEE Main and Advanced 2024 - JEE Main Maths Mock Test- 3

JEE Main Maths Mock Test- 3 for JEE 2024 is part of Mock Tests for JEE Main and Advanced 2024 preparation. The JEE Main Maths Mock Test- 3 questions and answers have been prepared according to the JEE exam syllabus.The JEE Main Maths Mock Test- 3 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- 3 below.
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JEE Main Maths Mock Test- 3 - Question 1

if the pair of lines ax2 + 2hxy + by2 + 2gx + 2fy + c = 0

Detailed Solution for JEE Main Maths Mock Test- 3 - Question 1

 

JEE Main Maths Mock Test- 3 - Question 2

The circle x2 + y2 - 8x + 4y + 4 = 0 touches

JEE Main Maths Mock Test- 3 - Question 3

The foci of the ellipse 25(x+1)2 + 9(y+2)2 = 225 are

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JEE Main Maths Mock Test- 3 - Question 4

The product of all roots of is

JEE Main Maths Mock Test- 3 - Question 5
Log (x + y) - 2xy = 0, then y (0) =
JEE Main Maths Mock Test- 3 - Question 6

The differential equation of the family of lines passing through the origin is

Detailed Solution for JEE Main Maths Mock Test- 3 - Question 6

JEE Main Maths Mock Test- 3 - Question 7

If f: R → R and g : R → R defined by f(x) = 2x + 3 and g(x) = x2 + 7, then the value of x for which f(g(x)) = 25 are

JEE Main Maths Mock Test- 3 - Question 8

The area bounded by the curve y = x2 - 4x, x-axis and line x = 2 is

Detailed Solution for JEE Main Maths Mock Test- 3 - Question 8

JEE Main Maths Mock Test- 3 - Question 9

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): f (x)   = log x3 and g (x)   = 3 log x are equal .
Reason(R) : Two functions f and g are said to be equal if their domains, ranges are equal and f (x)   = g (x) ∀ x in the domain .

JEE Main Maths Mock Test- 3 - Question 10

A tangent is drawn at the point (3√3 cos θ, sin θ) 0 < θ < (π/2) of an ellipse (x2/27) + (y2/1) = 1 the least value of the sum of the intercepts on the co-ordinate axes by this tangent is attained at θ =

JEE Main Maths Mock Test- 3 - Question 11

Which of the following statements are true ?
(1) The amplitude of the product of complex numbers is equal to the product of their amplitudes.
(2) For any polynomial f(x) =0 with real co-efficients, imaginary roots occurs in conjugate paris.
(3) Order relation exists in complex numbers whereas it does not exist in real numbers.
(4) The value of ω used as a cube root of unity and as a fourth root of unity are different.

JEE Main Maths Mock Test- 3 - 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):
Reason (R): The non zero vectors are always linearly independent

JEE Main Maths Mock Test- 3 - Question 13

How many numbers between 99 and 1000 can be formed from the digits 2,3,7,0,8,6 so that in each number each digit may occur once only?

JEE Main Maths Mock Test- 3 - Question 14

The probabilities of solving a problem by three student A,B,C are 1/2, 1/3, 1/4 respectively. The probability that problem will be solved is

Detailed Solution for JEE Main Maths Mock Test- 3 - Question 14

We have, probability that A can solve the problem = P(A) = 1/2 ,
And in this way P(B) = 1/3 and P(C) = 1/4.
P(A cannot solve the problem) = 1 – P(A) = 1/2 ,
P(B cannot solve the problem) = 1 – P(B) = 1 – 1/3 = 2/3,
P(C cannot solve the problem) = 1 – P(C) = 1 – 1/4 = 3/4.
P(A, B, and C cannot solve the problem) = 1/2 x 2/3 x 3/4 = 1/4.
Therefore , P(Problem will be solve) = 1 – P(Problem is not solved by any of them)
= 1 – 1/4 = 3/4

JEE Main Maths Mock Test- 3 - Question 15

If two dice are thrown, find the probability of getting an odd number of on one and multiple of 3 on the other is

Detailed Solution for JEE Main Maths Mock Test- 3 - Question 15

Odd no. on the first die

1, 3, 5

multiple of 3 on the other die

3, 6

now let's see the combination of these two events happening simultaneously

as the question says

(1,3) , (1,6) , (3,3) , (3,6) , (5,6) , (5,3)

total no of favourable events = 6

total no of events throwing two dice simultaneously = 6² = 36

so probability = 6/36 = 1/6

JEE Main Maths Mock Test- 3 - Question 16

If the roots of ax2 + bx + c = 0 are α,β and roots of Ax2 + Bx + C = 0 are α + K, β + K, then B2 - 4AC/b2 - 4ac is equal to

JEE Main Maths Mock Test- 3 - Question 17

Let f(x) be a polynominal function of second degree,If f(1) = f(-1) and a,b,c are in A.P., then f'(a),f'(b) and f'(c) are in

JEE Main Maths Mock Test- 3 - Question 18

The total expenditure incurred by an industry under different heads is best presented as a

JEE Main Maths Mock Test- 3 - Question 19
The orthocentre of a triangle whose vertices are [(2),((√3-1)/2)], ((1/2),-(1/2)) and (2,-(1/2)) is
JEE Main Maths Mock Test- 3 - Question 20

Detailed Solution for JEE Main Maths Mock Test- 3 - Question 20

*Answer can only contain numeric values
JEE Main Maths Mock Test- 3 - Question 21

A house of height 100 m subtends a right  angle at the window of an opposite house. If the height of the window be 64 m, then the distance between the two houses is


Detailed Solution for JEE Main Maths Mock Test- 3 - Question 21

*Answer can only contain numeric values
JEE Main Maths Mock Test- 3 - Question 22

 

The value of   is :-


Detailed Solution for JEE Main Maths Mock Test- 3 - Question 22

*Answer can only contain numeric values
JEE Main Maths Mock Test- 3 - Question 23

The area (in sq. units) of the region A =  is :-


*Answer can only contain numeric values
JEE Main Maths Mock Test- 3 - Question 24

A line makes α/2, β/2, γ/2 angles with positive direction of coordinate axes then cosα + cosβ + cosγ equals-


*Answer can only contain numeric values
JEE Main Maths Mock Test- 3 - Question 25

If a, b and c are perpendicular to b + c, c + a and a + b respectively and if |a + b| = 6, |b + c| = 8 and |c + a| = 10 then |a + b + c| =


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