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Floor Function

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (f:\mathbb{R}\to\mathbb{Z}), where (f(x)=\lfloor x\rfloor), is (f) onto?Class 12Relations and FunctionsReflexive relationExpert MathematicsIs (f:\mathbb{R}\to\mathbb{R}), where (f(x)=\lfloor x\rfloor), onto or not?Class 12Relations and FunctionsReflexive relationExpert MathematicsWhich statement is correct about (f:\mathbb{R}\to\mathbb{Z}), (f(x)=\lfloor x\rfloor)?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x\rfloor), is (f) onto?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x\rfloor+x), which statement about onto property is correct?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{Z}) and (f(x)=\lfloor x\rfloor), is (f) onto or not?Class 12Relations and FunctionsOnto functionHard MathematicsThe function (f:\mathbb{R}\to\mathbb{R}), where (f(x)=\lfloor x\rfloor), is not onto becauseClass 12Relations and FunctionsOnto functionHard MathematicsWhich statement is correct for (f:\mathbb{R}\to \mathbb{R}), (f(x)=\lfloor x\rfloor)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x-3\rfloor), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{Z}), (f(x)=\lfloor x-3\rfloor), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x+2\rfloor), why is (f) not onto?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{Z}), (f(x)=\lfloor x+2\rfloor), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{Z}), (f(x)=\lfloor x\rfloor), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{Z}) is given by (f(x)=\lfloor x\rfloor), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\lfloor x\rfloor+{x}), where ({x}) is the fractional part, what is (f(x)) equal to?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\lfloor x\rfloor), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsOn (A={1,2,3,4,5,6}), (aRb) if (\lfloor\frac{a}{2}\rfloor=\lfloor\frac{b}{2}\rfloor). Which are the equivalence classes of (R)?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn real numbers, (aRb) if and only if (\lfloor 2a\rfloor=\lfloor 2b\rfloor). Which is the correct equivalence class of (\frac{5}{4})?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn all real numbers, (aRb) if and only if (\lfloor 2a\rfloor=\lfloor 2b\rfloor). Which is the equivalence class of (\frac{5}{4})?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn real numbers, (aRb) if and only if (\lfloor a\rfloor=\lfloor b\rfloor). Which is the equivalence class of (-1.2)?Class 12Relations and FunctionsEquivalence relationExpert