Number of Functions

JEE Main Mathematics · Relations and Functions · 5 questions, latest first

• Consider two sets A={x ∈ Z:|(|x-3|-3)| ≤ 1} and B={x ∈ R-{1,2}: ((x-2)(x-4))/(x-1) log_e(|x-2|)=0}. Then the number of onto…202623 January, Shift 2 · Q2
• Consider the sets A={(x, y) ∈ R × R: x^2+y^2=25}, B={(x, y) ∈ R × R: x^2+9 y^2=144}, C={(x, y) ∈ Z × Z: x^2+y^2 ≤ 4} and D=A ∩ B.…20254 April, Shift 1 · Q1
• Let A={(x, y): 2 x+3 y=23, x, y ∈ N} and B={x:(x, y) ∈ A}. Then the number of one-one functions from A to B is equal to ____.20249 April, Shift 2 · Q21
• Let [t] be the greatest integer less than or equal to t. Let A be the set of all prime factors of 2310 and f: A → Z be the…20248 April, Shift 1 · Q1
• The number of functions f:{1,2,3,4} →{a ∈: Z|a| ≤ 8} satisfying f(n)+1/n f(n+1)=1, ∀ n ∈{1,2,3} is202325 January, Shift 2 · Q62