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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।

MathematicsIn which of the following perfect-square forms can the equation \(9x^2-30x+25=0\) be written?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34MediumMathematicsIn which of the following perfect-square forms can the equation \(4x^2-12x+9=0\) be written?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34MediumMathematicsIf \(x^2+10x+k\) is a perfect square and can be written as \((x+5)^2\), what is the value of \(k\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36EasyMathematicsWhich of the following is equal to x^2+24x+144?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36EasyMathematicsIf \(x^2-6x+k\) is in the perfect-square form \((x-3)^2\), what is the value of \(k\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35EasyMathematicsThe expression \\(x^2+16x+64\\) is equal to which of the following?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35EasyMathematicsWhich is the correct factorised form of the quadratic equation \(2x^2-7x+5=0\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35EasyMathematicsIn which of the following forms can the equation \(x^2+14x+49=0\) be written?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35EasyMathematicsThe expression \(x^2-10x+25\) is equal to which of the following?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34EasyMathematicsWhich rule directly applies to x² − 1 = 0?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34EasyMathematicsWhich of the following is the factorised form of the equation \(4x^2-1=0\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34EasyMathematicsIn the given equation \(x^2+8x=0\), what does \(x^2+8x+16\) become when a perfect square is formed by completing the square?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34EasyMathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2+8x+12=0\), what is the value of \((\alpha-\beta)^2+3\alpha\beta\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32ExpertMathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2+6x+8=0\), what is the value of \((\alpha-\beta)^2+2\alpha\beta\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31ExpertMathematicsIf (alpha,beta) are the roots of (x^2-6x+n=0) and (alpha^2+beta^2=20), what is the value of (n)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31ExpertMathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-5x+1=0\), what is the value of \(\alpha^2+\beta^2\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33HardMathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-4x-5=0\), what is the value of \((\alpha+2)(\beta+2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-8x+12=0\), what is the value of \(\alpha^2\beta^2\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-10x+24=0\), what is the value of \((\alpha-2)(\beta-2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsWhich of the following is the correct pair of roots of the quadratic equation \(x^2-(2m+3)x+(m+1)(m+2)=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard