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Zeros

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

MathematicsIf \(p(x)=x^2-49\), at which points does its graph intersect the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf a graph intersects the x-axis at the point \((r,0)\) with \(r>0\), which statement about the zero is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIn which situation will 0 be a real zero of a polynomial?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf \(p(x)=x^3-4x\), at which x-values does its graph meet the x-axis?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 \(p(-3)=0\), \(p(2)=5\) and \(p(8)=0\), at which points does the graph intersect the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf the graph of a polynomial crosses the x-axis at \(x=1\) and only touches the x-axis at \(x=6\), how many distinct real zeros does the polynomial have?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf the graph of a polynomial passes through the points \((-4,0), (0,3), (2,0)\) and \((5,-1)\), which are its real zeroes?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 has x-axis intersections at (3, 0) and (12, 0), what is the average of its zeros?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 MathematicsIf a graph (not just a removable point) intersects the x-axis at (-1,0), (2,0) and (4,0), what is the product of its zeros?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf p(x) = 2x^2 - 8, what are the zeros of p(x)?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 MathematicsIf \(p(x)=x^2-1\), which point on the graph does not represent a zero (root) of the polynomial?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsWhich statement is correct when the graph of a polynomial touches the x-axis at the point (a,0)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf the polynomial \(p(x)\) is continuous and \(p(-1)>0\) while \(p(4)<0\), which of the following statements is true?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium