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Quadratic Equation

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

MathematicsIn an arithmetic progression (a=20) and (d=5). If (S_n=1125), what is (n)?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 69Expert MathematicsIn an arithmetic progression (a=11) and (d=6). If (S_n=1003), what is (n)?Class 10Arithmetic Progressions (AP)Finding the sum of the first $n$ terms of an APLevel 68Expert MathematicsIf the sum of the zeroes of p(x)=x^2-2(k+1)x+k^2 is 10, what is k?Class 10PolynomialsPolynomials in one variableLevel 46Medium MathematicsIf \(A=\{0,1,2\}\) and \(B=\{-1,0,1\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(x^2+y^2=1\)?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 10Medium MathematicsIn which perfect-square form can 16x² − 24x + 9 = 0 be written?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Easy MathematicsWhich middle step is correct while solving x² − 8x + 12 = 0 by completing the square?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Medium MathematicsWhat is the correct splitting of the middle term in 8x² + 14x + 3 = 0?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Medium MathematicsIf U = {x ∈ ℤ : 0 ≤ x ≤ 20} and A = {x ∈ U : x² − 9x + 20 = 0}, how many elements of A' are less than 5?Class 10SetsComplement of a Set and Its PropertiesLevel 20Medium MathematicsIf U = {1, 2, ..., 10} and A = {x : x ∈ U and x² − 11x + 30 = 0}, what is A' ∩ {5, 6, 7, 8}?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf \(U=\mathbb{R}\) and \(A=\{x:x^2-5x+6=0\}\), which is the correct description of \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the discriminant of a quadratic equation is \(D=b^2-4ac\) and \(D<0\), how many real roots does the equation have?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf the universal set is \(U=\{1,2,3,4,5,6,7,8,9,10\}\) and \(A=\{x\mid x\in U\text{ and }x^2-5x+6=0\}\), what is the complement \(A^c\) of \(A\) with respect to \(U\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf one root is 5 and the product of the roots is 35, what is the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Easy MathematicsIf x = 2 is a root of the equation \(3x^2 - 8x + n = 0\), what is the value of \(n\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Easy MathematicsIf the roots of a quadratic equation are 2 and -5, what is their sum?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Easy MathematicsFind the roots of the equation \(2x^2-10x=0\).Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Easy MathematicsWhat are the roots of \(x^2+12x+36=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Easy MathematicsWhat is the sum of the roots of \(x^2+11x+30=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Easy MathematicsWhich statement is correct about the roots of \(7x^2 = 0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Easy MathematicsWhat is the repeated root of the equation \(x^2-8x+16=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Easy