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JEE Main Maths Test- 10 - JEE MCQ


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25 Questions MCQ Test Mock Tests for JEE Main and Advanced 2025 - JEE Main Maths Test- 10

JEE Main Maths Test- 10 for JEE 2024 is part of Mock Tests for JEE Main and Advanced 2025 preparation. The JEE Main Maths Test- 10 questions and answers have been prepared according to the JEE exam syllabus.The JEE Main Maths Test- 10 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for JEE Main Maths Test- 10 below.
Solutions of JEE Main Maths Test- 10 questions in English are available as part of our Mock Tests for JEE Main and Advanced 2025 for JEE & JEE Main Maths Test- 10 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- 10 | 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- 10 - Question 1
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If m= sin6x + cos6x, then m belongs to the interval

Detailed Solution for JEE Main Maths Test- 10 - Question 1
m=sin^6x+cos^6x=(sin^2x+cos^2x)(sin4x+cos^4x-sin^2xcos^2x)

as a^3+b^3=(a+b)(a^2-ab+b^2)

we know that,

sin^2x+cos^2x=1

m=((sin^2x+cos^2x)^2-3sin^2xcos^2x)

m=1-3sin^2xcos^2x

m=1-3/4(sin2x)^2

we know 0<=sin^2A<=1,

so -1<=-sin^2 2x<=0 multiply with -1,

-3/4<=-3/4(sin^2 2x)<=0 multiply with 3/4,

1/4<=1-3/4(sin^2 2x)<=1 add 1,

1/4<=m<=1

therefore "m" belongs to[1,1/4]. 
JEE Main Maths Test- 10 - Question 2
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if then is equal to

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JEE Main Maths Test- 10 - Question 3
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if then the value of

JEE Main Maths Test- 10 - Question 4
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if

JEE Main Maths Test- 10 - Question 5
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In a triangle .If tan (P/2) and than (Q/2) are the roots of the equation then
JEE Main Maths Test- 10 - Question 6
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If m then (m n)/(m–n) =
JEE Main Maths Test- 10 - Question 7
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Minimum value of 3cosx + 4sinx +5?
JEE Main Maths Test- 10 - Question 8
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The expression ) lies between
Detailed Solution for JEE Main Maths Test- 10 - Question 8
5 cos a+3 cos (a + π3)+3 ⇒ 5 cos a + 3 [  cos(π3)cos a - sin (π3) sin a ]+ 3 As we know ( cos ( a + b ) = cos a cos b - sin a sin b ) ⇒5 cos a + 3(12)cos a - 3(32) sin a+3 since cos(π3) = 12, sin(π3) = 32 ⇒132 cos a - 3(32 ) sin a + 3 a cos a + b sin a + c       minimum value is  c-a2 + b2 ⇒132 cos a - 3(32 ) sin a + 3 minimum value   3- 13222 +33222 ⇒ 3 - 1694 + 274 ⇒ 3 - 49 ⇒ 3 -  7 ⇒ -4 maximum value is  3 + 13222 +33222  ⇒ 3 + 1694 + 274 ⇒ 3 + 7 ⇒ 10
JEE Main Maths Test- 10 - Question 9
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The maximum value of is
JEE Main Maths Test- 10 - Question 10
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if then x+y+z =
JEE Main Maths Test- 10 - Question 11
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The value of expression is equal to
JEE Main Maths Test- 10 - Question 12
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JEE Main Maths Test- 10 - Question 13
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If the angle A of a triangle ABC is given by the equation 5 cos A 3 = 0, then sin A and tan A are the roots of the equation
JEE Main Maths Test- 10 - Question 14
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JEE Main Maths Test- 10 - Question 15
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If A B = then (tanA + 1)(tanB + 1) is equal to
JEE Main Maths Test- 10 - Question 16
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For a positive integer n,let
,Then
JEE Main Maths Test- 10 - Question 17
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=
JEE Main Maths Test- 10 - Question 18
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JEE Main Maths Test- 10 - Question 19
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If q =  then
JEE Main Maths Test- 10 - Question 20
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the =
JEE Main Maths Test- 10 - Question 21
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JEE Main Maths Test- 10 - Question 22
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The number of solutions of
JEE Main Maths Test- 10 - Question 23
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The maximum value of sin in the interval is attained at
JEE Main Maths Test- 10 - Question 24
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The equation asinx + bcosx = c where |c|> has
JEE Main Maths Test- 10 - Question 25
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If satisfying the equation then value of is
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