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Class12

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

MathematicsIf \(A=\begin{bmatrix}1&2\\3&4\end{bmatrix}\) and \(B=\begin{bmatrix}1&2\\3&5\end{bmatrix}\), which statement is correct?Class 12MatrixEquality of matricesLevel 34Easy MathematicsWhat is the order of \(A=\begin{bmatrix}2\\3\\4\\5\end{bmatrix}\)?Class 12MatrixOrder of a matrixLevel 34Easy MathematicsWhat is the value of \(\tan^{-1}\left(\frac{1}{\sqrt{3}}\right)\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchLevel 31Easy MathematicsWhat is the value of \(\tan^{-1}0\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchLevel 31Easy MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are given by (f(x)=x+2) and (g(x)=x^2), what is the value of ((g\circ f)(-3))?Class 12Relations and FunctionsFunctionsLevel 21Hard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=2x-5), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsLevel 21Hard MathematicsIf a relation on a 3-element set is both reflexive and antisymmetric, how many such relations are possible?Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsWhat is the relation on (A) called when it contains only pairs of the form ((a,a))?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsWhat is the relation on a non-empty set (A) called when it has no ordered pair?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsWhat is the relation on a set (A) called when it contains all ordered pairs of (A\times A)?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsFor any relation (R), what is ((R^{-1})^{-1}) equal to?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn (A={1,2,3,4,5,6}), for (R={(a,b):\gcd(a,b)=1}), which of ((2,3)), ((2,4)), ((5,6)) belong to (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn (A={1,2,3}), (R={(1,2),(2,3)}). What is (R\circ R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsOn (A={1,2,3,4}), which new pair is minimally needed to make (R={(1,2),(2,3),(4,4)}) transitive?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsOn (A={1,2,3,4,5}), how many pairs are in (R={(a,b):a\le b})?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsOn (A={1,2,3,4,5}), how many pairs are in (R={(a,b):a+b\le6})?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) iff (a) and (b) leave the same remainder on division by (2). How many equivalence classes are formed?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsOn real numbers, (aRb) iff (a-b\in\mathbb{Q}). Which of the following classes is equal to ([0])?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\le 5}). How many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsOn (A={1,2,3}), how many symmetric relations are not reflexive?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert