Relations and Functions

JEE Main 2024 (Online) 4th April Morning ShiftMCQMedium📈 Topic in 31% papers+4−1

Ques. 1JEE Main 2024, 4 April (Morning Shift)

If the domain of the function -1 ( 3x-222x-19 )+ e ( 3x2-8x+5x2-3x-10 ) is ( , ], then 3 +10 is equal to:

Answer

(3) 97

-1: -1 3x-222x-19 1

3x-222x-19-1= x-32x-19 0 x [3, 192 )

3x-222x-19+1= 5x-412x-19 0 x 415 or x> 192

x [3, 415 ] ...(i)

: (3x-5)(x-1)(x-5)(x+2)>0 x (- ,-2) (1, 53 ) (5, ) ...(ii)

(i) ∩ (ii): x (5, 415 ] =5, = 415

3 +10 =15+82=97

Answer: (3)

Ques. 2JEE Main 2024, 4 April (Morning Shift)

Let the sum of the maximum and the minimum values of the function f(x)= 2x2-3x+82x2+3x+8 be mn, where (m, n)=1. Then m+n is equal to :

Ques. 3JEE Main 2024, 1 February (Evening Shift)

If the domain of the function f(x)= x2-25 (4-x2 )+ 10 (x2+2x-15 ) is (- , ) [ , ), then 2+ 3 is equal to :

Ques. 4JEE Main 2024, 30 January (Morning Shift)

If the domain of the function f(x)= -1 ( 2-|x|4 )+ \ e(3-x) \-1 is [- , )-\ \, then + + is equal to :

Ques. 5JEE Main 2024, 30 January (Evening Shift)

If the domain of the function f(x)= e ( 2 x+34 x2+x-3 )+ -1 ( 2 x-1x+2 ) is ( , ], then the value of 5 -4 is equal to

All JEE Main Mathematics chapters