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Zeroes

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-(a+b)x+ab), what will be the (x)-axis intersections of the graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsIf (p(x)=-(x-1)(x-5)), on which side of the (x)-axis will the graph lie for (1<x<5)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsIf (p(x)=(x+4)^2(x-3)), where will the graph touch and where will it cross the (x)-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsThe axis of symmetry of a parabola is (x=2) and one zero is (-3). What will be the other zero?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard MathematicsIf a graph cuts the x-axis at the points (2,0) and (14,0), what is the average of the zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf a graph cuts the x-axis at the points (-3, 0), (0, 0) and (6, 0), what is the sum of its zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium MathematicsIf p(x) = x³ − x, at which x-values can the graph meet the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsThe zeroes of a polynomial are -9 and -2. Which zero is greater?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsA graph intersects the x-axis at x = 2 and x = 10. What is the distance between these two zeros?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf a graph has only one x-axis intersection at (-5, 0) and the graph crosses the axis there, what is the real zero?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIn a polynomial graph, there is a touch with the (x)-axis at (x=4) and a crossing at (x=-6). Which statement is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsIf (p(0)=0) and (p(5)=0), which statement about the graph is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsA graph has x-axis intercepts (a,0), (b,0), (c,0). Which statement is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsIf (p(x)=x(x-5)), at which (x)-values will the graph cut the (x)-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsIf the zeroes are (-2) and (6), what is the midpoint of the (x)-axis intersection points?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsIf the graph of a quadratic polynomial cuts the x-axis at (-2, 0) and (7, 0), what are the values of p(-2) and p(7)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsIf the (x)-axis intersections of a graph are ((m,0)) and ((n,0)), what is the product of the zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsIf \(p(x)=x^2-16\), what are the x-axis intersections (x-intercepts) of its graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsThe table gives \(p(-2)=6,\; p(1)=0,\; p(3)=-4,\; p(5)=0\). Which x-values are zeroes of the polynomial \(p(x)\)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium MathematicsIf the parabola of a quadratic polynomial only touches the (x)-axis at ((3,0)), what is the number of distinct real zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Medium