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Symmetry

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

MathematicsWhich line of symmetry does the graph of \(f(x)=x^4-2x^2\) have?Class 11Relations and FunctionsGraphs of standard functionsHard MathematicsWhat symmetry does the graph of (f(x)=x^3-3x) have with respect to the origin?Class 11Relations and FunctionsGraphs of standard functionsHard MathematicsAbout which line is the graph (y=\sqrt{|x-2|}) symmetric?Class 11Relations and FunctionsGraphs of standard functionsHard MathematicsWhich function is symmetric about the y-axis and has a minimum value of 2?Class 11Relations and FunctionsGraphs of standard functionsHard MathematicsWhich symmetry is shown by the graph (y=\sqrt{|x|})?Class 11Relations and FunctionsGraphs of standard functionsHard MathematicsWhich function has a graph symmetric about the (y)-axis but does not cut the (x)-axis?Class 11Relations and FunctionsGraphs of standard functionsHard MathematicsWhich function gives a graph symmetric about the y-axis?Class 11Relations and FunctionsGraphs of standard functionsMedium MathematicsWhich standard function has a parabola as its graph, with vertex at the origin and symmetry about the y-axis?Class 11Relations and FunctionsGraphs of standard functionsMedium MathematicsWhich of the following functions has a smooth U-shaped graph that is symmetric about the y-axis and touches the x-axis at the origin?Class 11Relations and FunctionsGraphs of standard functionsMedium MathematicsWhich function has a graph symmetric about the origin?Class 11Relations and FunctionsGraphs of standard functionsEasy MathematicsFor the function \(f(x)=x^2\), what is the relation between \(f(2)\) and \(f(-2)\)?Class 11Relations and FunctionsGraphs of standard functionsEasy MathematicsWhat is the axis of symmetry of the graph f(x)=x^2?Class 11Relations and FunctionsGraphs of standard functionsEasy MathematicsWhat is the range of (f(x)=\sqrt{x-2}+\sqrt{7-x})?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsIf (f(x)=\sqrt{x-1}+\sqrt{9-x}), what is the range of (f)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsIf (f(x)=\sqrt{x+4}+\sqrt{4-x}), what is the range of (f)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsLet R = {(1,1), (2,2), (3,3), (4,4), (1,2), (2,1), (2,4), (4,2)} be a relation on A = {1, 2, 3, 4}. Which of the following properties does R fail to satisfy?Class 11Relations and FunctionsRelationsExpert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):a+b \text{ is prime}}), which statement about (R) is correct?Class 11Relations and FunctionsRelationsExpert MathematicsIf (R={(a,b):a\ne b}) on (A={1,2,3,4}), choose the correct statement.Class 11Relations and FunctionsRelationsExpert MathematicsIf (A={1,2,3,4}) and (R={(a,b):|a-b|=1}), which property is true?Class 11Relations and FunctionsRelationsExpert MathematicsLet \(R=\{(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1)\}\) be a relation on \(A=\{1,2,3\}\). Why is \(R\) not an equivalence relation?Class 11Relations and FunctionsRelationsHard