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Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhat is the range of the function \(f(x)=2x^2\) when \(x\in\mathbb{R}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeEasy MathematicsOn (\mathbb{R}), (aRb) if and only if (a^3\leq b^3). This relation is equivalent to which relation?Class 11Relations and FunctionsRelationsExpert MathematicsOn (\mathbb{R}), (aRb) if and only if (a^2=b^2). Which statement about (R) is correct?Class 11Relations and FunctionsRelationsExpert MathematicsOn the set of real numbers (\mathbb{R}), (aRb) if and only if (a-b\in\mathbb{Z}). What is the nature of (R)?Class 11Relations and FunctionsRelationsExpert MathematicsIf (R={(x,y)\in \mathbb{R}\times\mathbb{R}:x^2=y^2}), which statement is correct for (R)?Class 11Relations and FunctionsRelationsExpert MathematicsOn the real numbers, define relation \(aRb\) iff \(a^3=b^3\). What type of relation is \(R\)?Class 11Relations and FunctionsRelationsHard MathematicsOn (A=\mathbb{R}\setminus{0}), (aRb) if and only if (ab>0). What are its equivalence classes?Class 11Relations and FunctionsRelationsHard MathematicsOn (A=\mathbb{R}), (aRb) if and only if (a-b\geq0). Which relation is this?Class 11Relations and FunctionsRelationsHard MathematicsOn the set of real numbers \(\mathbb R\), a relation \(R\) is defined by \(xRy\iff x-y\in\mathbb Q\). Choose the correct classification of this relation.Class 11Relations and FunctionsRelationsHard