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

MathematicsIf \(p(x)=x^2-4x+3\), which of the following values of \(x\) makes \(p(x)<0\)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf the discriminant of a quadratic equation is \(D=(r-2)^2-9\), which interval of \(r\) results in no real roots?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf the discriminant of a quadratic equation is \(D=20n-80\), what condition on \(n\) is required for the equation to have two real and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf the discriminant of a quadratic equation is D = (z − 9)(z + 1), which interval of z is required for the equation to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf the discriminant of a quadratic equation is \(D=12n-36\), what condition on \(n\) is necessary for the equation to have two real and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf the discriminant of a quadratic equation is \(D=(z-4)(z+6)\), which interval of \(z\) results in no real roots of the equation?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf the discriminant of a quadratic equation is \(D=8m-24\), what condition on \(m\) is necessary for the equation to have real roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf the discriminant of a quadratic equation is \(D=(u+1)(u-5)\), which interval of \(u\) results in no real roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsFor which interval of the parameter \(a\) does the quadratic equation \(3x^2-2(2a+1)x+(a^2+a+1)=0\) have no real roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsFor the equation \(x^2-2mx+3m=0\) to have no real roots, which is the correct interval for \(m\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf the discriminant of a quadratic equation with real coefficients is \(D=2r^2+3\), where \(r\) is a real number, what is the correct conclusion about its roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor which interval of (t) will the equation (x^2+2tx+t+4=0) have no real roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf \(A=\{1,2,3\}\) and \(B=\{1,2,3,4,5\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(y-x\ge2\)?Class 10SetsEqual sets and SubsetsLevel 10Medium MathematicsIf \(U=\{x\in\mathbb{Z}:-3\le x\le 8\}\), \(A=\{x\in U:x+1\ge4\}\), and \(B=\{x\in U:x<6\}\), what is \(A'\cup B'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Hard MathematicsIf the universal set is \(U=\mathbb{R}\) and \(A=\{x\in\mathbb{R}\mid x<3\text{ or }x\ge 8\}\), what is \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Hard MathematicsFor the equation \(x^2-2x+(p+3)=0\) to have no real roots, what is the correct condition on \(p\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsWhat is the correct condition on \(a\) for the equation \(x^2-2(a+1)x+a^2+3=0\) to have real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf the universal set is \(U=\mathbb{R}\) and \(A=\{x\in\mathbb{R}:x^2\ge 9\}\), what is \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Hard MathematicsIf the universal set is U = ℝ and A = {x ∈ ℝ : x < −4 or x ≥ 2}, what is A′?Class 10SetsComplement of a Set and Its PropertiesLevel 21Medium MathematicsIf U = R and A = {x | x ≤ 1 or x > 9}, what is A'?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium