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Parabola

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

MathematicsFor the parabola \(y=x^2-2kx+(k^2-16)\), at how many distinct points will it intersect the \(x\)-axis?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsHow does the parabola \(y=x^2-2(k+2)x+(k+2)^2\) meet the \(x\)-axis?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsHow many points of intersection are there between the parabola \(y=x^2-2kx+k^2+9\) and the \(x\)-axis?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsAssertion: The graph of the parabola \(y=3x^2-6x+11\) does not intersect the \(x\)-axis. Reason: The discriminant of the corresponding quadratic equation is \(D=-96\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsFor the parabola \(y=x^2-2kx+(k^2-9)\), where \(k\) is any real number, how will it intersect the \(x\)-axis?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsHow will the parabola \(y=x^2-2(k-1)x+(k-1)^2\) meet the \(x\)-axis?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsHow many points of intersection are there between the parabola \(y=x^2-2kx+k^2+4\) and the x-axis?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf the equation of a parabola is \(y=x^2-2kx+(k^2-4)\), how will it intersect the \(x\)-axis?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsHow will the parabola \(y=x^2-2kx+k^2\) intersect the x-axis?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsFor a real constant \(k\), how many points of intersection are there between the parabola \(y=x^2-2kx+k^2+1\) and the \(x\)-axis?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf a quadratic equation has D=-12, which statement is correct regarding its graph?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf the parabola representing a quadratic equation neither intersects nor touches the x-axis, what can be concluded about its real roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf \(p(x)=x^2+6x+10\), how does its graph relate to the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf a parabola opens downward and cuts the (x)-axis at two points, how many real zeroes will it have?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Expert MathematicsIf 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 24Easy MathematicsIf p(x) = 6x² − 72x + 216, how will the graph meet the x-axis?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Medium MathematicsIf the zeroes of a parabola are (q-11) and (q+7), what will be its axis of symmetry?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Expert MathematicsThe (x)-axis intersections of a parabola are ((-17,0)) and ((9,0)). What is the coordinate of the midpoint of its zeroes?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Expert MathematicsOne 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 23Medium MathematicsIf the axis of symmetry of a parabola is (x=5) and one zero is (-1), what will be the other zero?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Expert