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SRMJEEE Maths Mock Test - 5 - JEE MCQ


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30 Questions MCQ Test SRMJEEE Subject Wise & Full Length Mock Tests 2024 - SRMJEEE Maths Mock Test - 5

SRMJEEE Maths Mock Test - 5 for JEE 2024 is part of SRMJEEE Subject Wise & Full Length Mock Tests 2024 preparation. The SRMJEEE Maths Mock Test - 5 questions and answers have been prepared according to the JEE exam syllabus.The SRMJEEE Maths Mock Test - 5 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for SRMJEEE Maths Mock Test - 5 below.
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SRMJEEE Maths Mock Test - 5 - Question 1

The maximum value of the function f(x) = sin(x + π/6) + cos (x + π/6) in the interval (0, π/2) occurs at :

SRMJEEE Maths Mock Test - 5 - Question 2

The area bounded by the curve y2 = 9x and the lines x = 1, x = 4 and y = 0 in the first quadrant is

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SRMJEEE Maths Mock Test - 5 - Question 3

Let f(x) = x - |x - x2|, x ∈[-1, 1]. Then the number of points at which f(x) is discontinuous is

Detailed Solution for SRMJEEE Maths Mock Test - 5 - Question 3

f(x)= x - |x|. |1-x|. We know that x, |x|, |1-x| are continuous everywhere. As the product and algebraic sum of continuous functions are continuous, f(x) is continuous everywhere.

SRMJEEE Maths Mock Test - 5 - Question 4

If in the expansion of [(x4)+(1/x3)]15 in rth term x4 occurs, then r=

SRMJEEE Maths Mock Test - 5 - Question 5

The correct statement regarding the position of point (-6,2) with respect to lines 2x+3y-4=0 and 6x+9y+8=0 is

SRMJEEE Maths Mock Test - 5 - Question 6

If two circles of equal radii a and with centres (2,3) and (5,6) cut each other at right angle then, a=

SRMJEEE Maths Mock Test - 5 - Question 7

Equation [(x2)/(2-r)]+[(y2)/(r-5)]+1=0 represents an ellipse if

SRMJEEE Maths Mock Test - 5 - Question 8

[(1-2i)/(2+i)] + [(4-i)/(3+2i)] =

SRMJEEE Maths Mock Test - 5 - Question 9

SRMJEEE Maths Mock Test - 5 - Question 10

The area bounded by two curves y2=4ax and x2=4ay is

Detailed Solution for SRMJEEE Maths Mock Test - 5 - Question 10

 Given, y2 = 4ax -- (1)  
          x2 = 4ay ---(2)  
(1) and (2) intersects

hence  
x = y2/4a (a > 0)  

 (y2/4a)2 = 4ay  
 y4 = 64a3y  
y4 – 64a3y = 0  
 y[y3 – (4a)3] = 0  
 y = 0, 4a  
When y = 0, x = 0 and                     when y = 4a, x = 4a.  
The points of intersection of (1) and (2) are O(0, 0) and A(4a, 4a).  
The area of the region between the two curves  
= Area of the shaded region  
04a(y1 – y2)dx  
04a[√(4ax) – x2/4a]dx  
= [2√a.(x3/2)/(3/2) – (1/4a)(x3/3)] -04a  
= 4/3√a(4a)3/2 – (1/12a)(4a)3 – 0  
= 32/3a2 – 16/3a2  
= 16/3a2 sq. units

SRMJEEE Maths Mock Test - 5 - Question 11

The degree and order of the differential equation of the family of all parabolas whose axis is x-axis are respectively

SRMJEEE Maths Mock Test - 5 - Question 12

f(x)=x2-27x+5 is increasing when

SRMJEEE Maths Mock Test - 5 - Question 13

∫[(1)/(1-sinx)]dx=

SRMJEEE Maths Mock Test - 5 - Question 14

If cot⁻1[(cos α)1∕2] - tan⁻1[(cot α)1∕2] = x, then sin x =

SRMJEEE Maths Mock Test - 5 - Question 15

All diagonal elements of skew symmetric matrix are

SRMJEEE Maths Mock Test - 5 - Question 16

The value of lim 

SRMJEEE Maths Mock Test - 5 - Question 17

Let f(x) be a function such that f'(a) ≠ 0. Then at x = a,f(x)

Detailed Solution for SRMJEEE Maths Mock Test - 5 - Question 17

Let f(x) = |x|.
f'(0) ≠ 0 but f(x) has a minimum at x = 0.

SRMJEEE Maths Mock Test - 5 - Question 18

The inverse of matrix

SRMJEEE Maths Mock Test - 5 - Question 19

The number of partition values in case of quartiles is:

SRMJEEE Maths Mock Test - 5 - Question 20

Given the following data:
No. of observation = 1000
Arithmetic mean = 1000
Variance = 256.0
The co-efficient of variance will be equal to

SRMJEEE Maths Mock Test - 5 - Question 21

The equation of pair of lines passes through (1,1) and perpendicular to lines 3x2-7xy-2y2=0 is

SRMJEEE Maths Mock Test - 5 - Question 22

The probability that a card drawn from a pack of 52 cards will be diamond or king is

SRMJEEE Maths Mock Test - 5 - Question 23

In an election there are five candidates for three places. A man can vote for maximum number of candidates. In how many total ways can a men vote?

SRMJEEE Maths Mock Test - 5 - Question 24

In a Δ ABC , the inradius and three exradii are r , r1 , r2 and r3 respectively. In usual notations the value of r. r1.r2.r3 is equal to

Detailed Solution for SRMJEEE Maths Mock Test - 5 - Question 24

SRMJEEE Maths Mock Test - 5 - Question 25

The sum of the series 1.32+ 2.52 + 3.72 +.....upto 20 terms is

SRMJEEE Maths Mock Test - 5 - Question 26

If α, β are the roots of the equation x2 + x + 1 = 0 and (α/β), (β/α) are the roots of x2 + px + q = 0, then p is equal to

SRMJEEE Maths Mock Test - 5 - Question 27

In the set W of whole numbers an equivalence relation R is defined as follows :

aRb iff both a and b leave same remainder when divided by 5. The equivalence class of 1 is given by

SRMJEEE Maths Mock Test - 5 - Question 28

SRMJEEE Maths Mock Test - 5 - Question 29

If lines 2x+3ay-1=0 and 3x+4y+1=0 are metually perpendicular, then a =

SRMJEEE Maths Mock Test - 5 - Question 30

The tangent to a given curve y=f(x) is perpendicular to x-axis if

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