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SRMJEEE Maths Mock Test - 1 - JEE MCQ


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30 Questions MCQ Test SRMJEEE Subject Wise & Full Length Mock Tests 2024 - SRMJEEE Maths Mock Test - 1

SRMJEEE Maths Mock Test - 1 for JEE 2024 is part of SRMJEEE Subject Wise & Full Length Mock Tests 2024 preparation. The SRMJEEE Maths Mock Test - 1 questions and answers have been prepared according to the JEE exam syllabus.The SRMJEEE Maths Mock Test - 1 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for SRMJEEE Maths Mock Test - 1 below.
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SRMJEEE Maths Mock Test - 1 - Question 1

The curves 4x2 + 9y2 = 72 and x2 - y2 = 5 at (3, 2)

SRMJEEE Maths Mock Test - 1 - Question 2

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

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SRMJEEE Maths Mock Test - 1 - Question 3

If | x | < 1, then the coefficient of xn in the expansion (1 + x + x2 + x3 + ....)2 is

Detailed Solution for SRMJEEE Maths Mock Test - 1 - Question 3

1 + x + x2 + x3 + ..... = (1 - x) -1 [∵ | x | < 1]
∴ (1 + x + x2 + x3 + .....)2 = [(1 - x)-1]2
= (1 - x)-2
Now (1 - x)-2 = 1 + 2x + 3x2 + 4x3 + ..... + (n + 1) xn (∵ | x | < 1).
Hence Coefficient of xn is (n + 1)

SRMJEEE Maths Mock Test - 1 - Question 4

Complex numbers z₁,z₂ and z₃ in A.P.

SRMJEEE Maths Mock Test - 1 - Question 5

The pair of lines represented by 3ax2 + 5xy + (a2 - 2)y2 = 0 are ⊥ to each other for

Detailed Solution for SRMJEEE Maths Mock Test - 1 - Question 5

SRMJEEE Maths Mock Test - 1 - Question 6

From the origin chords are drawn to the circle x2 + y2 - 2y = 0. The locus of the middle points of these chords is

Detailed Solution for SRMJEEE Maths Mock Test - 1 - Question 6

Let P(x1, y1) be a point in the locus
The equation of the chord having P as its midpoint is
This chord passes through the origin

∴ The equation to the locus of P is x2 + y2 - y = 0

SRMJEEE Maths Mock Test - 1 - Question 7

The value of f(0) so that f x = sinx / x is continuous at x = 0 is

SRMJEEE Maths Mock Test - 1 - Question 8

The tangent drawn from (α,β) to an ellipse (x2/a2)+(y2/b2)=1 touches the circle x2+y2=c2 then the locus of (α,β) is

SRMJEEE Maths Mock Test - 1 - Question 9

SRMJEEE Maths Mock Test - 1 - Question 10

SRMJEEE Maths Mock Test - 1 - Question 11

The general solution of the differential equation (x+a)p2+(x-y)p-y=0 is :

SRMJEEE Maths Mock Test - 1 - Question 12

f(x)=x3-27x+5 is increasing when

Detailed Solution for SRMJEEE Maths Mock Test - 1 - Question 12

SRMJEEE Maths Mock Test - 1 - Question 13

If 2tan⁻1(cosx)= tan⁻1(cosec2x), then x is equal to

SRMJEEE Maths Mock Test - 1 - Question 14

Detailed Solution for SRMJEEE Maths Mock Test - 1 - Question 14

SRMJEEE Maths Mock Test - 1 - Question 15

The inverse of 

Detailed Solution for SRMJEEE Maths Mock Test - 1 - Question 15

If A is the given matrix, then det A = 1

SRMJEEE Maths Mock Test - 1 - Question 16

SRMJEEE Maths Mock Test - 1 - Question 17

The minimum value of a tan2 x + b cot2x equals the maximum value of a sin2 θ + b cos2 θ where a > b > 0, when

Detailed Solution for SRMJEEE Maths Mock Test - 1 - Question 17

Minimum value of a tan2 x + b cot2 + x is and maximum value of a sin 2 θ + b cos2 θ is a
(∵ a sin2 θ + b cos2 θ = (a − b) sin2 θ + b)
Given : a = .
∴ a = 4 b

SRMJEEE Maths Mock Test - 1 - Question 18

Detailed Solution for SRMJEEE Maths Mock Test - 1 - Question 18

SRMJEEE Maths Mock Test - 1 - Question 19

The middle value of an ordered series is called:

SRMJEEE Maths Mock Test - 1 - Question 20

The best measure of dispersion is:

SRMJEEE Maths Mock Test - 1 - Question 21

If grad of one line of equation x2+kxy+2y2=0 is double of other, h =

SRMJEEE Maths Mock Test - 1 - Question 22

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

Detailed Solution for SRMJEEE Maths Mock Test - 1 - Question 22

Thus, the number of ways to form a group of 5 men and 2 women out of 7 men and 3 women is: 63

SRMJEEE Maths Mock Test - 1 - Question 23

A purse contains 4 copper coins and 3 silver coins, the second purse contains 6 copper coins and 2 silver coins. A coin is taken out from any purse. The probability that it is a copper coin is

Detailed Solution for SRMJEEE Maths Mock Test - 1 - Question 23

SRMJEEE Maths Mock Test - 1 - Question 24

In a triangle 

SRMJEEE Maths Mock Test - 1 - Question 25

If the roots of the equation a/x - a + b/x - b = 1 are equal in magnitude and opposite in sign, then

SRMJEEE Maths Mock Test - 1 - Question 26

The fourth, seventh and tenth terms of a G.P. are p, q and r respectively, then

SRMJEEE Maths Mock Test - 1 - Question 27

Suppose that g (x) = 1 + √x and f (g(x)) = 3 + 2 √x + x, then f (x) is

SRMJEEE Maths Mock Test - 1 - Question 28

SRMJEEE Maths Mock Test - 1 - Question 29

The coordinates of foot of perpendicular from (2,3) to the line x+y+1=0 are

SRMJEEE Maths Mock Test - 1 - Question 30

The equation of the tangent at the point P(t), where t is any parameter, to the parabola y2=4ax is

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