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Quadratic Inequality

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

MathematicsIf the roots of the equation \(x^2-8x+k=0\) are real and distinct, what is the correct condition on \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30HardMathematicsIf A = {x ∈ R : x ≠ 0} and B = {x ∈ R : x² > 0}, what is A △ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{x\in\mathbb{R}:x^2\le 9\}\) and \(B=\{x\in\mathbb{R}:x^2<1\}\), what is \(A\setminus B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf \(A=\{x\in\mathbb{R}:x^2-4x+3>0\}\) and \(B=\{x\in\mathbb{R}:x>1\}\), what is \(A\cap B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIf \(A=\{x\in\mathbb{Z}:-6\le x\le 6\}\) and \(B=\{x\in\mathbb{Z}:x^2<10\}\), what is \(A-B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17MediumMathematicsIf A = {x ∈ R : x² − 5x + 6 ≤ 0} and B = {x ∈ R : x < 4}, what is the difference set A − B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIf \(A=\{x\in\mathbb{R}:x<0\}\) and \(B=\{x\in\mathbb{R}:x^2\le4\}\), what is \(A\cup B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf \(A=\{x\in\mathbb{R}:x^2<9\}\) and \(B=\{x\in\mathbb{R}:x\ge1\}\), what is \(A-B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf \(A=\{x\in\mathbb{Z}: |x|\le 3\}\) and \(B=\{x\in\mathbb{Z}: x^2-2x\le 0\}\), find \(A\cap B\).Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf A = {x : x ∈ Z and x² ≤ 4}, which subset of A is not proper?Class 10SetsPower Set and SubsetsLevel 8MediumMathematicsThe set {x ∈ ℝ : x² ≤ 0} is equal to which set?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 6MediumMathematicsFor A = {x ∈ ℤ : x² ≤ 1} and B = {−1, 0, 1}, which statement is correct?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 4EasyMathematicsWhat type of set is A = {x ∈ ℝ : x² + 1 ≤ 0}?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 1EasyMathematicsIf A = {x ∈ ℝ : x² − 1 < 0}, which statement about A is correct?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 5MediumMathematicsIf L₁ = {x : x ∈ ℕ, x² < 10} and M₁ = {1, 2, 3}, is L₁ = M₁?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 3EasyMathematicsIf A = {x : x ∈ Z and x² ≤ 9}, how many elements does A have?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 3EasyMathematicsIf G = {x ∈ Z : x² < 2x + 8}, which is the correct roster form of G?Class 10SetsSets and their representationsLevel 2MediumMathematicsIf K₁ = {x : x ∈ N, x² − 5x + 6 ≤ 0}, what is the roster form of K₁?Class 10SetsSets and their representationsLevel 3MediumMathematicsWhich option is the correct roster form of J₁ = {x : x ∈ ℕ, x² − 5x + 6 < 0}?Class 10SetsSets and their representationsLevel 3Medium

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