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Relations And Functions

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

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 functionsLevel 35Medium MathematicsWhat is the slope of the line \(5x-y=10\)?Class 11Straight LinesSlope of a line and angle between two linesLevel 35Medium MathematicsFor the function \(f(x)=\{2x\}\), where \(\{y\}\) denotes the fractional part of y, what is the value of \(f(x)\) at \(x=1.35\)?Class 11Relations and FunctionsGraphs of standard functionsLevel 35Medium MathematicsWhat is the range of the fractional part function \(f(x)=\{x\}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 35Medium MathematicsFor the function \(f(x)=\lfloor 3x\rfloor\), what is the value of \(f(x)\) at \(x=-0.4\)?Class 11Relations and FunctionsGraphs of standard functionsLevel 35Medium MathematicsWhat is the value of \(f(x)=\lfloor x-3\rfloor\) at \(x=5.9\)?Class 11Relations and FunctionsGraphs of standard functionsLevel 35Medium MathematicsFor the function \(f(x)=\operatorname{sgn}(3x-12)\), what is the value of \(f(x)\) when \(x>4\)?Class 11Relations and FunctionsGraphs of standard functionsLevel 35Medium MathematicsWhat is the range of \(f(x)=\frac{2}{(x-1)^2}-3\)?Class 11Relations and FunctionsGraphs of standard functionsLevel 35Medium MathematicsWhat is the vertical asymptote of the function \(f(x)=\frac{1}{(x+2)^2}\)?Class 11Relations and FunctionsGraphs of standard functionsLevel 35Medium MathematicsWhat is the vertical asymptote of the function \(f(x)=\frac{1}{x-5}+2\)?Class 11Relations and FunctionsGraphs of standard functionsLevel 35Medium MathematicsWhat are the zeros of the function \(f(x)=x^2+8x+15\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 35Medium MathematicsWhat is the value of the function \(f(x)=|x+4|-|x-2|\) at \(x=-1\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 35Medium MathematicsWhat are the points where the graph of \(f(x)=2|x+2|-6\) intersects the \(x\)-axis?Class 11Relations and FunctionsGraphs of standard functionsLevel 35Medium MathematicsWhat are the x-coordinates of the intercepts of the function \(f(x)=-(x-1)^2+4\) on the x-axis?Class 11Relations and FunctionsGraphs of standard functionsLevel 34Medium MathematicsWhich of the following real-valued functions has domain \(\mathbb{R}\) and range \([0,\infty)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 34Medium MathematicsWhat is the relationship between the graphs of \(f(x)=\frac{1}{x}\) and \(g(x)=\frac{1}{x}+3\)?Class 11Relations and FunctionsGraphs of standard functionsLevel 34Medium MathematicsWhat is the x-coordinate of the x-intercept of the function \(f(x)=x^3-8\)?Class 11Relations and FunctionsGraphs of standard functionsLevel 34Medium MathematicsIf the real-valued function is \(f(x)=\dfrac{\sqrt{4-x^2}}{x-1}\), which of the following is its domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 34Medium MathematicsWhat is the value of the function \(f(x)=|x|-|x-2|\) at \(x=3\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 34Medium MathematicsWhat is the slope of the line \\(4x-2y=6\\)?Class 11Straight LinesSlope of a line and angle between two linesLevel 34Medium