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Geometrical Meaning Of The Zeroes Of A Polynomial

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

MathematicsWhich option correctly describes the nature of 1/√2?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 27EasyMathematicsIf p(x) = 5(x + 1)(x - 2)(x - 4), at how many distinct points will the graph cut the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24MediumMathematicsA quadratic polynomial graph does not touch or intersect the x-axis. What is the number of distinct real zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24MediumMathematicsIf a graph cuts the x-axis at -7 and -2, what are the solutions of p(x) = 0?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24EasyMathematicsThe graph does not cut the x-axis but cuts the line y = 2 twice. What is certain about its zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24MediumMathematicsThe graph cuts the x-axis at (−2, 0), (0, 0), and (5, 0). Which statement is correct?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24EasyMathematicsIf the vertex of a quadratic polynomial graph lies on the x-axis, what is correct about its real zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24EasyMathematicsIf a parabola remains entirely above the x-axis and never touches it, how many real zeroes does it have?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24EasyMathematicsIf p(x) = x² − 19x + 90, what is the distance between the zeroes of the graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23MediumMathematicsIf the x-axis intersections of a graph are (0, 0), (g, 0), and (−g, 0), where g ≠ 0, what is the sum of the zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23EasyMathematicsIf p(x) = 6x² − 72x + 216, how will the graph meet the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23MediumMathematicsIf the graph of p(x) = x² + px + q cuts the x-axis at (−8, 0) and (5, 0), what are p and q?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23MediumMathematicsIf p(x) = x³ − 9x² + 18x, what is the mean of the zeroes of the graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23MediumMathematicsOne zero of a parabola is −10, and the other zero is 18 more than the first. What is the axis of symmetry?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23MediumMathematicsIf p(x) = x² − 17x + 72, what is the distance between the zeroes of the graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22MediumMathematicsIf p(x) = 5x^2 - 50x + 125, how will the graph meet the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22MediumMathematicsIf the graph of p(x) = x^2 + px + q cuts the x-axis at (-9, 0) and (4, 0), what will p and q be?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22HardMathematicsOne zero of a parabola is -8, and the other zero is 12 more than the first. What is the axis of symmetry?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22MediumMathematicsIf p(x) = x^2 - 15x + 56, what is the distance between the zeroes of the graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24MediumMathematicsIf p(x) = 4x^2 - 24x + 36, how will the graph meet the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Medium