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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 \(p(x)=x^2-6kx+9k^2\), at which x-value will its graph touch the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24HardMathematicsIf (p(x)=-(x+5)(x-1)), on which side of the (x)-axis will the graph lie for (-5<x<1)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24HardMathematicsIf a parabola has zeroes (-7) and (5) and opens upward, where will the graph be at (x=-1)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24HardMathematicsIf (p(x)=x^2-2ax+a^2-9), what will be the zeroes of the graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23HardMathematicsIf (p(x)=(x-1)(x-3)(x-5)), where will the graph be for (1<x<3)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23HardMathematicsIf a graph cuts the (x)-axis at ((-4,0)) and ((10,0)), what change is needed to make the zeroes equally distant from the (y)-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23HardMathematicsIf the (x)-axis intersections of a graph are ((0,0)) and ((b,0)), where (b\neq0), what will be the sum of the zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23HardMathematicsIf a graph cuts the (x)-axis at ((4,0)) and ((12,0)), what is the position of (x=8) between them?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23HardMathematicsIf (p(x)=x^3-6x^2+5x), what is the set of zeroes of the graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23HardMathematicsIf the (x)-axis intersections of a parabola are ((-9,0)) and ((3,0)), what is the coordinate of the midpoint?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23HardMathematicsIf (p(x)=(x+3)^2(x-5)^2), how will the graph behave with the (x)-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23HardMathematicsIf (p(x)=-(x+2)(x-6)), on which side of the (x)-axis will the graph lie for (-2<x<6)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23HardMathematicsIf a parabola has zeroes (-8) and (2) and opens upward, where will the graph be at (x=-3)?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23HardMathematicsIf a graph cuts the (x)-axis at ((-3,0)) and ((9,0)), what change is needed to make the zeroes equally distant from the (y)-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22HardMathematicsIf a graph cuts the x-axis at (2,0) and (8,0), what is the position of x=5 between them?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22MediumMathematicsIf (p(x)=x^3-4x^2-5x), what is the set of zeroes of the graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22HardMathematicsIf a polynomial graph cuts the (x)-axis at three distinct points, what can be the minimum possible degree of the polynomial?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22HardMathematicsIf (p(x)=x^2+2x-15), what are the (x)-axis intersections of the graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22HardMathematicsIf the (x)-axis intersections of a parabola are ((-7,0)) and ((1,0)), what is the coordinate of the midpoint of its zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22HardMathematicsIf (p(x)=(x-2)^2(x+5)^2), how will the graph behave with the (x)-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Hard