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

MathematicsIf \(p(x)=x^2-(m+n)x+mn\), what are the x-axis intersections (x-intercepts) of its graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Hard MathematicsIf a polynomial has values \(p(-4)=0\), \(p(0)=3\), \(p(2)=0\), \(p(5)=0\), how many of the given x‑values are zeros (roots) of the polynomial?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsIf a graph touches the x-axis at (4,0) and crosses it at (-2,0), what is the sum of the zeros?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsIf the graph of a polynomial crosses the x-axis at \\(x=-3\\) and only touches it at \\(x=2\\), which statement is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsIf \(p(x)=x^2-2kx+k^2\), at which x-value will its graph touch the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsIf \(p(x)=-(x-1)(x+4)\), at which real zeros (x-intercepts) does its graph cross the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsThe graph of a polynomial crosses the x-axis at two distinct points and does not merely touch it at any point. What does this imply?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsA student saw the point (0, −6) and wrote −6 as a zero (root) of a function. Why is this incorrect?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf \(p(1)<0\), \(p(2)=0\) and \(p(3)>0\), which of the following points lies on the \(x\)-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium 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 MathematicsThe graph of a polynomial meets the x-axis at (a, 0) and (−a, 0). If a ≠ 0, what is the sum of its zeros?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsOn the graph of a function we have \(p(3)=0\) and \(p(7)=4\). Which statement is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf \(p(2)=0\), \(p(5)=0\) and \(p(9)=0\), how many distinct intersections with the x-axis will the graph have?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf a graph intersects the x-axis at \((-10,0)\) and \((0,0)\), what is the product of its zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIn which situation will x=0 NOT be a zero (root) of the polynomial?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf p(0) = -3, which conclusion about the graph is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsHow does a polynomial graph meeting the x-axis differ in meaning from it meeting the y-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf the graph of a polynomial cuts the x-axis at the points (-4,0) and (4,0), which statement about the zeroes is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsIf \(p(a)=0\) and \(p(b)=0\), where \(a\neq b\), at which points will the graph of \(p(x)\) cut the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsIf \(p(2)=3\) then the point \((2,3)\) lies on the graph. Is 2 a zero (root) of \(p(x)\)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Easy