Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Analysis Elementary Set Theory
Given f, g are continuous functions on [1, 2] such that f(1) = 1, g(2) = 2 and f(3/2) > g(3/2). Which of the following statement is true?
1
There is no t ∈ [1, 2] such that f(t) = g(t)
2
There is at least one t ∈ [1, 2] such that f(t) = g(t)
3
There are always infinitely many t ∈ [1, 2] such that f(t) = g(t)
4
none of the above
5
Question Not Attempted