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Graphical Interpretation

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsFor a pair of linear equations, if \(\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne\frac{c_1}{c_2}\), which statement about their graphical representation is correct?Class 10Pair of Linear Equations in Two VariablesConditions for solvabilityLevel 60Expert MathematicsHow do the lines appear on a graph when a pair of linear equations in two variables has infinitely many solutions?Class 10Pair of Linear Equations in Two VariablesConditions for solvabilityLevel 59Hard MathematicsIf the parabola of a quadratic equation with rational coefficients cuts the x-axis at two distinct points and its discriminant \(D\) is not a perfect square, what will be the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf the graph of a parabola intersects the x-axis at two distinct points, what will be the nature of the roots of the corresponding quadratic equation?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf the graph of a quadratic equation touches the x-axis at exactly one point, what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf the graph of a polynomial \(p(x)\) intersects the x-axis at the point \((r,0)\), which of the following statements is always true?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf the graph of a polynomial cuts the \(x\)-axis at \(a\) and \(b\) with \(a \neq b\), what are the values of \(p(a)\) and \(p(b)\)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf the graph of a polynomial touches the x-axis at a point but does not cross it there, what does this indicate?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf \(p(-7)=0\), \(p(-3)=2\), \(p(1)=0\) and \(p(4)=0\), how many of the given x‑values are zeroes of \(p(x)\)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Hard MathematicsIf the graph of a polynomial touches the x-axis at the single point (m, 0) and does not meet the x-axis anywhere else, how many distinct real zeros does the polynomial have?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf a graph touches the \(x\)-axis only at \(x=11\), which statement is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf the graph of a polynomial crosses the x-axis at \(x=-2\) and only touches it at \(x=3\), what are the distinct real zeros?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsIf the graph of a polynomial touches the x-axis only at the point (5,0), which of the following statements is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Easy