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SRMJEEE Maths Mock Test - 10 - JEE MCQ


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30 Questions MCQ Test - SRMJEEE Maths Mock Test - 10

SRMJEEE Maths Mock Test - 10 for JEE 2024 is part of JEE preparation. The SRMJEEE Maths Mock Test - 10 questions and answers have been prepared according to the JEE exam syllabus.The SRMJEEE Maths Mock Test - 10 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for SRMJEEE Maths Mock Test - 10 below.
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SRMJEEE Maths Mock Test - 10 - Question 1

A stone thrown vertically upwards satisfies the equation S = 80t - 16t2. The time required to reach the maximum height is

Detailed Solution for SRMJEEE Maths Mock Test - 10 - Question 1

SRMJEEE Maths Mock Test - 10 - Question 2

The area bounded y = x2 + 2, X-axis, x = 1 and x = 2 is

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SRMJEEE Maths Mock Test - 10 - Question 3

A triangle with vertices (4,0), (-1, -1), (3, 5) is

SRMJEEE Maths Mock Test - 10 - Question 4

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

Detailed Solution for SRMJEEE Maths Mock Test - 10 - Question 4

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 - 10 - Question 5

Equation x2+y2+4x+6y+13=0 represents

SRMJEEE Maths Mock Test - 10 - Question 6

If z₁ and z₂ are two non-zero complex numberssuch that |z₁ + z₂| =|z₁| + |z₂|,then arg z₁ -arg z₂ is equal to

SRMJEEE Maths Mock Test - 10 - Question 7

If (2,0) is the vertex and y-axis is the directrix of the parabola, then its focus is

SRMJEEE Maths Mock Test - 10 - Question 8

If and if f is continuous at x = 1 then f(1) =

SRMJEEE Maths Mock Test - 10 - Question 9

Detailed Solution for SRMJEEE Maths Mock Test - 10 - Question 9

 

SRMJEEE Maths Mock Test - 10 - Question 10

SRMJEEE Maths Mock Test - 10 - Question 11

The solution of differential equation xy(dy/dx)=[((1+y2)(1+x+x2))/(1+x2)] is

SRMJEEE Maths Mock Test - 10 - Question 12

For real values of x the minimum value of [(1-x+x2)/(1+x+x2)] is

SRMJEEE Maths Mock Test - 10 - Question 13

∫[(x)/((x2-a2)(x2-b2))]dx=

SRMJEEE Maths Mock Test - 10 - Question 14

If sin⁻1 x + cot⁻11/2 = π/2, then x is equal to

SRMJEEE Maths Mock Test - 10 - Question 15

SRMJEEE Maths Mock Test - 10 - Question 16

If minimum value of f(x) = x2 + 2bx + 2c2 is greater than maximum value of g(x) = - x2 - 2cx + b2 then for x is real

SRMJEEE Maths Mock Test - 10 - Question 17

The inverse of matrix 

SRMJEEE Maths Mock Test - 10 - Question 18

If two variables x and y are related by 2x + 3y - 7 = 0 and the mean and mean deviation about mean of x are 1 and 0.3 respectively, then the coefficient of mean deviation of y about mean is:

SRMJEEE Maths Mock Test - 10 - Question 19

Obtain

SRMJEEE Maths Mock Test - 10 - Question 20

The standard deviation of six numbers 3, 3, 3, 5, 5, 5 is

SRMJEEE Maths Mock Test - 10 - Question 21

Equation x2-3xy+λy2+3x-5y+2=0, where λ is real represents a pair of lines. If θ is the angle between them, then cosec2θ =

SRMJEEE Maths Mock Test - 10 - Question 22

Number of divisors of n = 38808 (except 1 and n) is

Detailed Solution for SRMJEEE Maths Mock Test - 10 - Question 22

Factorizing the given number, we have
38808 = 23 . 32 . 72 . 11
Therefore the total number of divisors
= (3 + 1) (2 + 1) (1 + 1) - 1 = 71
But this includes the division by the number itself
Hence, the required number of divisors
= 71 - 1 = 70

SRMJEEE Maths Mock Test - 10 - Question 23

A and B are two independent events. P( A and B) = 1/6 and the probability that neither of them occur is 1/3 . Find the probability occurrence of A?

Detailed Solution for SRMJEEE Maths Mock Test - 10 - Question 23

Let P(A) = X and P(B) = Y;
So, P(A’) = 1 - X and P(B’) = 1 - Y
P(A and B) = P(A) x P(B) = XY = 1/6
Probability that neither of them occurs = P(A’) x P(B’) = (1 - X) x (1 - Y) = 1/3
Solving the resulting quadratic equation, we get X = 1/3 or 1/2 that is the probability of occurrence of A

SRMJEEE Maths Mock Test - 10 - Question 24

If in a ΔABC , r3 = r1 + r2 + r , then ∠ A + ∠ B =

SRMJEEE Maths Mock Test - 10 - Question 25

Both the roots of the equation (x-a)(x-b) + (x-b)(x-c) + (x-c)(x-a)=0 are always

SRMJEEE Maths Mock Test - 10 - Question 26

If f (x) = (x)/(x - 1) = 1/y, then f (y) =

SRMJEEE Maths Mock Test - 10 - Question 27

If a,b,c are in A.P. as well as in G.P. then

SRMJEEE Maths Mock Test - 10 - Question 28

SRMJEEE Maths Mock Test - 10 - Question 29

The equation of a line passing through (1,2) and perpendicular to 3x+4y+5=0 is

SRMJEEE Maths Mock Test - 10 - Question 30

The tangent at (1,7)to the curve x2-y-6 touches the circle x2+y2+16x+12y+c=0 at :

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