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JEE Main Maths Test- 8 - JEE MCQ


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25 Questions MCQ Test - JEE Main Maths Test- 8

JEE Main Maths Test- 8 for JEE 2024 is part of JEE 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 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Main Maths Test- 8 below.
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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 =
*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

Detailed Solution for JEE Main Maths Test- 8 - Question 21

*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

Detailed Solution for JEE Main Maths Test- 8 - Question 22

*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

*Answer can only contain numeric values
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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