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JEE Main Maths Test- 8 - JEE MCQ


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25 Questions MCQ Test Mock Tests for JEE Main and Advanced 2025 - JEE Main Maths Test- 8

JEE Main Maths Test- 8 for JEE 2025 is part of Mock Tests for JEE Main and Advanced 2025 preparation. The JEE Main Maths Test- 8 questions and answers have been prepared according to the JEE exam syllabus.The JEE Main Maths Test- 8 MCQs are made for JEE 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Main Maths Test- 8 below.
Solutions of JEE Main Maths Test- 8 questions in English are available as part of our Mock Tests for JEE Main and Advanced 2025 for JEE & JEE Main Maths Test- 8 solutions in Hindi for Mock Tests for JEE Main and Advanced 2025 course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt JEE Main Maths Test- 8 | 25 questions in 60 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mock Tests for JEE Main and Advanced 2025 for JEE Exam | Download free PDF with solutions
JEE Main Maths Test- 8 - Question 1
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JEE Main Maths Test- 8 - Question 2
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Detailed Solution for JEE Main Maths Test- 8 - Question 2
Fisrt apply operation of R1 ->R1+R2+R3 you will get all the elements of row 1 equals to zero. And now expanding it along R1 u will get the value of determinant be equal to zero.
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JEE Main Maths Test- 8 - Question 3
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JEE Main Maths Test- 8 - Question 4
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If then =
JEE Main Maths Test- 8 - Question 5
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If then =
JEE Main Maths Test- 8 - Question 6
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If &  then is equal to
JEE Main Maths Test- 8 - Question 7
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The value of the determinant
is
JEE Main Maths Test- 8 - Question 8
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If p + q + r = a + b + c =0, then the value of is
JEE Main Maths Test- 8 - Question 9
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If A,B,C be the angles of a triangle, then is
JEE Main Maths Test- 8 - Question 10
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If a,b,c are respectively the pth,qth and rth terms of an H.P., then
JEE Main Maths Test- 8 - Question 11
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If x,y,z (>0) are the pth, qth rth terms of a G.P. then the determinant
is
JEE Main Maths Test- 8 - Question 12
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If f(x) = then g =
JEE Main Maths Test- 8 - Question 13
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If then a,b,c are in
JEE Main Maths Test- 8 - Question 14
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If be the determinant given in last question and =0 then system of lines given by the equation ax by c=0 pass through the point
JEE Main Maths Test- 8 - Question 15
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If the three digit numbers A28,3B9, and62C where A,B and C are integers between 0 and 9 which are divisible by the D = is divisible by
JEE Main Maths Test- 8 - Question 16
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if is imaginary cube root of unity then the value of  is equal to
Detailed Solution for JEE Main Maths Test- 8 - Question 16
ω(ω2)=1
1+ω+ω2=0
Then you get a very interesting result:
a3+b3+c3−3abc
JEE Main Maths Test- 8 - Question 17
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If = k xyz, then k =
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*Multiple options can be correct
JEE Main Maths Test- 8 - Question 18
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The value of lying between =0 and and satisfying then equation
are
Detailed Solution for JEE Main Maths Test- 8 - Question 18

Correct Answer : a,c

Explanation : A = {(1+sin2θ, cos2θ, 4sin4θ) (sin2θ, 1+cos2θ, 4sin4θ) (sin2θ, cos2θ, 1+4sin4θ)}

C1 ----> C1 + C2

=> {(1+sin2θ, cos2θ, 4sin4θ) (sin2θ, 1+cos2θ, 4sin4θ) (sin2θ, cos2θ, 1+4sin4θ)} = 0

=> {(1+1, cos2θ, 4sin4θ) (1+1, 1+cos2θ, 4sin4θ) (1, cos2θ, 1+4sin4θ)} = 0

=> {(2, cos2θ, 4sin4θ) (2, 1+cos2θ, 4sin4θ) (1, cos2θ, 1+4sin4θ)} = 0

R2 : R2-->R2-R1,   R3-->R3-R1

=> {(2, cos2θ, 4sin4θ) (2-2, 1+cos2θ-cos2θ, 4sin4θ-4sin4θ) (1-2, cos2θ-cos2θ, 1+4sin4θ-4sin4θ)} = 0

=> {(2, cos2θ, 4sin4θ) (0, 1, 0) (-1, 0,1)} = 0

Expand 

0 + 1[2 - (-1)4sin4θ] = 0

2 + 4sin4θ = 0

Sin4θ = -2/4

sin4θ = -½

4θ = π + π/6,     2θ = 2π-π/6

4θ =  7π/6,     2θ = 11π/6

θ = 7π/24,     2θ = 11π/24

JEE Main Maths Test- 8 - Question 19
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If A is any m×n matrix such that AB and BA are both defined, then B is a matrix of type
JEE Main Maths Test- 8 - Question 20
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If a matrix has 13 elements, then the possible dimensions (order) it can have are
*Answer can only contain numeric values
JEE Main Maths Test- 8 - Question 21
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then r is equal to

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*Answer can only contain numeric values
JEE Main Maths Test- 8 - Question 22
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If y = cos θ + sin θ and then numbers of values of θ ∈ [0, 2π] is

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*Answer can only contain numeric values
JEE Main Maths Test- 8 - Question 23
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If then value of (k + a + b) = ?

Detailed Solution for JEE Main Maths Test- 8 - Question 23

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JEE Main Maths Test- 8 - Question 24
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Let t(x) = is

Detailed Solution for JEE Main Maths Test- 8 - Question 24

*Answer can only contain numeric values
JEE Main Maths Test- 8 - Question 25
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The value of  is

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