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Class 12 Mathematics

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

MathematicsWhat is the principal value range of the inverse sine function \(\sin^{-1}x\)?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsEasy MathematicsWhat is the order of the matrix \(A=\begin{bmatrix}1&2&3\\4&5&6\end{bmatrix}\)?Class 12MatrixOrder of a matrixEasy MathematicsWhich of the following inverse trigonometric functions has the principal-value range \([0,\pi]\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsFor a real number \(x\), in which interval does the principal value of \(\tan^{-1}x\) lie?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsA student claims that \(\tan^{-1}(\tan(3\pi/4))=3\pi/4\). What is the correct evaluation of this claim?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsMedium MathematicsWhich of the following inverse trigonometric functions has the principal value range \(\left[0,\pi\right]\)?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsMedium MathematicsIf \(y=\sin^{-1}x\), which relation between (x) and (y) is correct?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsMedium MathematicsWhat is the range of the function \(\tan^{-1}x\)?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsMedium MathematicsA student writes \(\sin^{-1}(\sin(5\pi/6))=5\pi/6\). What is the correct correction to this error?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsEasy MathematicsWhich of the following intervals is the standard principal value range of \(\cot^{-1}x\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchEasy MathematicsIn which interval does the principal value of \(\tan^{-1}x\) lie?Class 12Inverse Trigonometric FunctionsProperties of inverse trigonometric functionsEasy MathematicsWhich of the following inverse trigonometric functions has all real numbers as its domain?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsEasy MathematicsWhich of the following functions \(f:\mathbb{R}\to\mathbb{R}\) is onto?Class 12Relations and FunctionsOnto functionExpert MathematicsWhich of the following functions is onto its given codomain?Class 12Relations and FunctionsOnto functionHard MathematicsWhich of the following functions \(f:\mathbb{R}\to\mathbb{R}\) is one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsLet \(f:A\to B\) and \(g:B\to C\) be functions. If the composite function \(g\circ f:A\to C\) is one-one, which of the following conclusions must be true?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhich of the following is a necessary and sufficient condition for a function \(f:A\to B\) to be one-one?Class 12Relations and FunctionsOne-one functionMedium MathematicsWhich condition is necessary and sufficient for a function \(f:A\to B\) to be one-one?Class 12Relations and FunctionsOne-one functionMedium MathematicsWhich condition correctly defines a one-one function \(f:A\to B\)?Class 12Relations and FunctionsOne-one functionEasy MathematicsLet \(A=\{1,2,3\}\) and \(B=\{a,b,c\}\). Which of the following functions \(f:A\to B\) is one-one?Class 12Relations and FunctionsOne-one functionEasy