JEE Main Maths Test- 10 - JEE MCQ

# JEE Main Maths Test- 10 - JEE MCQ

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JEE Main Maths Test- 10 - Question 1

### 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<=m<=1

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

### if then is equal to

JEE Main Maths Test- 10 - Question 3

### if then the value of

JEE Main Maths Test- 10 - Question 4

if

JEE Main Maths Test- 10 - Question 5
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
If m then (m n)/(m–n) =
JEE Main Maths Test- 10 - Question 7

Minimum value of 3cosx + 4sinx +5?

JEE Main Maths Test- 10 - Question 8
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

The maximum value of is

JEE Main Maths Test- 10 - Question 10

if then x+y+z =

JEE Main Maths Test- 10 - Question 11

The value of expression is equal to

JEE Main Maths Test- 10 - Question 12
JEE Main Maths Test- 10 - Question 13
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

JEE Main Maths Test- 10 - Question 15

If A B = then (tanA + 1)(tanB + 1) is equal to

JEE Main Maths Test- 10 - Question 16
For a positive integer n,let
,Then
JEE Main Maths Test- 10 - Question 17
=
JEE Main Maths Test- 10 - Question 18
JEE Main Maths Test- 10 - Question 19
If q =  then
JEE Main Maths Test- 10 - Question 20
the =
JEE Main Maths Test- 10 - Question 21
JEE Main Maths Test- 10 - Question 22
The number of solutions of
JEE Main Maths Test- 10 - Question 23
The maximum value of sin in the interval is attained at
JEE Main Maths Test- 10 - Question 24

The equation asinx + bcosx = c where |c|> has

JEE Main Maths Test- 10 - Question 25
If satisfying the equation then value of is

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