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Quadratic Equations

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

MathematicsIf p(x) = 3x² − 12x + 6, what is the nature of its zeroes?Class 10Quadratic EquationsNature of RootsLevel 28Hard MathematicsIf one zero of \(p(x)=x^2+ax-6\) is \(-\sqrt{6}\) and the other is \(\sqrt{6}\), what is the value of \(a\)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsFor which value of k will \(p(x)=x^2-10x+k\) have zeros \(5+\sqrt{2}\) and \(5-\sqrt{2}\)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf \(2+\sqrt{3}\) and \(2-\sqrt{3}\) are zeroes of a quadratic polynomial, what is the polynomial?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsWhich polynomial has zeros \\(\\sqrt{7}\\) and \\(-\\sqrt{7}\\)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard MathematicsIf \(p(x)=25x^2-36\), what are the x-axis intersections of its graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 22Expert MathematicsIf \(p(x)=16x^2-9\), what are the x-axis intersections of the graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 24Hard MathematicsIf p(x)=9x^2-16, what are the x-axis intersections (x-intercepts) of its graph?Class 10PolynomialsGeometrical meaning of the zeroes of a polynomial.Level 23Hard MathematicsIf A = {x : x is a real solution of x² = 4} and B = {-2, 2}, which statement is correct?Class 10SetsEqual sets and SubsetsLevel 7Easy MathematicsIf A = {x : x² − 5x + 6 = 0} and B = {2, 3}, which statement is correct?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 10Medium MathematicsIf A = {x : x is a solution of x² - 5x + 6 = 0} and B = {2, 3}, which statement is true?Class 10SetsEqual sets and SubsetsLevel 7Medium MathematicsIf A = {x : x ∈ ℕ, x² − 7x + 12 = 0} and B = {3, 4}, which statement is correct?Class 10SetsEqual sets and SubsetsLevel 9Medium MathematicsIf A = {x : x² = 4} and B = {-2, 2}, which of the following is correct?Class 10SetsEqual sets and SubsetsLevel 8Medium MathematicsIf A = {x ∈ ℝ : x² − 4 = 0}, which set is equal to A?Class 10SetsEqual sets and SubsetsLevel 6Easy MathematicsOver the real numbers, what is the type of the set {x ∈ R : x² + 1 = 0}?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 6Easy MathematicsWhich statement is correct about the set A = {x ∈ Q : x² = 0.25}?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 5Easy MathematicsChoose the correct statement about A = {x ∈ ℝ : x² - 2x + 5 = 0}.Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 5Medium MathematicsIf A = {x ∈ Z : x² + 3x + 2 = 0} and B = {-2, -1}, which relation is correct?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 3Medium MathematicsIf A = {x ∈ ℤ : x² = 16 and x < 0}, what is A?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 5Easy MathematicsIf A = {x ∈ Z : x² − 7x + 12 = 0} and B = {3, 4}, which conclusion is correct?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 4Medium