JEE Advanced Sets Relations and Functions questions
4 Mathematics questions on Sets Relations and Functions as asked in JEE Advanced, newest first.
- Let S = \ a + b√(2) : a,b ∈ Z \, T_1 = \ (-1+√(2) )^n : n ∈ N \, and T_2 = \ (1+√(2) )^n : n ∈ N \. Then which of the following statements is (are) TRUE?
2024
- Let R^2 denote R × R. Let S = \ (a,b,c) : a,b,c ∈ R and ax^2 + 2bxy + cy^2 > 0 for all (x,y) ∈ R^2 - \(0,0)\ \. Then which of the following statements is (are) TRUE?
2024
- Let f : R → R be a function such that f(x+y) = f(x) + f(y) for all x, y ∈ R, and g : R → (0,∞) be a function such that g(x+y) = g(x)g(y) for all x, y ∈ R. If f ((-3)/5 ) = 12 and g ((-1)/3 ) = 2, then the value of (f…
2024
- Let S = (0,1) ∪ (1,2) ∪ (3,4) and T = \0,1,2,3\. Then which of the following statements is(are) true?
2023
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