Trigonometric Functions

JEE Main 2025 (Online) 24th January Evening ShiftMCQHard📈 Topic in 32% papers+4−1

Ques. 1JEE Main 2025, 24 January (Evening Shift)

Let A= \x (0, )- \ 2 \: (2/ )| x|+ (2/ )| x|=2 \ and B= \x 0: x( x-4)-3| x-2|+6=0 \. Then n(A ) is equal to :

Answer

(2) 8

Set A: 2/ | x x|=2 | 2x|= 8 2 0.81

[figure]

The line cuts y=| 2x| at 4 points in (0, ) n(A)=4

Set B: t= x: t2-4t-3|t-2|+6=0 t=0,1,3,4 =\0,1,9,16\

Only x=1 (0, ) and | 2| 0.91 0.81 no common element

(A B)=4+4=8

Answer: (2)

Ques. 2JEE Main 2025, 23 January (Morning Shift)

The value of ( 70 ) ( 10 70 -1 ) is

Ques. 3JEE Main 2025, 23 January (Evening Shift)

Let the range of the function f(x)=6+16 x ( 3-x ) ( 3+x ) 3x 6x, x be [ , ]. Then the distance of the point ( , ) from the line 3x+4y+12=0 is :

Ques. 4JEE Main 2025, 22 January (Evening Shift)

The sum of all values of [0,2 ] satisfying 2 2 = 2 and 2 2 =3 is

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