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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।

MathematicsThe roots of \(x^2-9x+4=0\) are \(\alpha,\beta\). What is \(\alpha+\beta+5\alpha\beta\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf \(x=-1\) is a root of \(x^2+(6k-3)x+5k=0\), what is the value of \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsWhat is the nature of the roots of the quadratic equation \(36x^2-60kx+25k^2=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf \((x+a)^2 = x^2 + 28x + 196\), what is the value of \(a\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsWhat is the difference between the roots of the equation \(7x^{2}-30x+32=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf one root of the quadratic equation \(x^2-(m+7)x+7m=0\) is 7, what is the other root?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsWhich of the following statements is true for the equation \(x^2 - 12x + 40 = 0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf \(\alpha\) and \(\beta\) are the roots of \(x^2-18x+80=0\), what is the value of \((\alpha-8)(\beta-8)\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsWhich of the following quadratic equations has discriminant -47?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf the roots of \(x^2-2mx+64=0\) are equal, what are the possible values of \(m\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf \(x=-6\) is a root of \(2x^2+px-18=0\), what is the value of \(p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsWhat is the standard form of the equation \(3(x+1)^2+2(x-4)^2=74\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf \(x=-2\) is a root of the equation \(x^2+(5k-2)x+4k=0\), what is the value of \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf the quadratic equation \(x^2-18x+c=0\) can be written as a perfect square, what is the value of \(c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf \(x^2-2ax+a^2-25=0\), what is the difference between the larger and smaller roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf \(\alpha\) and \(\beta\) are the roots of \(x^2-13x+36=0\), what is the value of \((\alpha+\beta)^2\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf \(x=-1\) is a root of the quadratic equation \(x^2+(4k-1)x+3k=0\), what is the value of \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhat is the absolute difference between the roots of \(3x^2-14x+16=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhich of the following is a quadratic equation, even though it has terms involving the variable on both sides?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsThe roots of the equation \\(x^2-5x+2=0\\) are \\(\\alpha\\) and \\(\\beta\\). What is the value of \\(\\alpha+\\beta+2\\alpha\\beta\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard