1
The value of n is .
Answer
11
Solution
Intersection: e-x( x+ x)=e-x x+ x=1 (x+ 4 )= 1 2.
x=2k or x=2k + 2.
In [0,10 ]: x=0,2 , ,10 (6 values) and x= 2, 5 2, , 17 2 (5 values).
n=11.
Answer: 11
JEE Advanced 2026 Paper 2
Trigonometric Functions · Question 3
Keep practising — Trigonometric Functions
2
Let = 1 60 61 + 1 62 63 + + 1 118 119 . Then the value of ( cosec1 )2 is .
JEE Advanced 2025 Paper 2
3
Let 2<x< be such that x= -5 11. Then ( 11x2 ) ( 6x- 6x )+ ( 11x2 ) ( 6x+ 6x ) is equal to
- 11-12 3
- 11+12 3
- 11+13 2
- 11-13 2
JEE Advanced 2024 Paper 1
4
Let f: R R be a function defined by f(x)= cases x2 ( x2 ), & if x 0,\ 0, & if x=0. cases Then which of the following statements is TRUE?
- f(x)=0 has infinitely many solutions in the interval [ 11010, ).
- f(x)=0 has no solutions in the interval [ 1 , ).
- The set of solutions of f(x)=0 in the interval (0, 11010 ) is finite.
- f(x)=0 has more than 25 solutions in the interval ( 1 2, 1 ).
JEE Advanced 2024 Paper 2