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Quadratic Equations

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

MathematicsWhat is the standard form of the equation \((x+1)(x+2)+(x+3)(x+4)=50\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIn which option will the given equation not remain quadratic?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-8x+15=0\), what is the value of \((\alpha-1)(\beta-1)\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhat is the sum of squares of the roots of \(2x^2+7x+3=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf one root of x² + ax + 12 = 0 is 3, what are the other root and a?Class 10Quadratic EquationsNature of RootsLevel 29Hard MathematicsWhich equation has discriminant −15?Class 10Quadratic EquationsNature of RootsLevel 29Hard MathematicsIf the roots of the equation \(x^2-6x+k=0\) are real and distinct, what is the correct condition on \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf 2 and 3 are the roots of the equation \(x^2-sx+p=0\), what is the value of \(s+p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhat is the sum of reciprocals of the roots of (2x^2-5x+3=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhat condition on \(k\) is necessary and sufficient for the equation \(x^2+2kx+9=0\) to have real roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf the two roots of the equation \(x^2-2kx+16=0\) are equal, what are the possible values of \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhich monic quadratic equation has a sum of roots equal to 7 and a product of roots equal to 10?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf \\(x=-2\\) is a root of the equation \\(3x^2+px+10=0\\), what is the value of \\(p\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWrite (\frac{x^2-3}{2}+\frac{x-1}{3}=4) in standard form with integer coefficients.Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhen the equation (x-2)^2+(2x+1)^2=25 is written in the standard quadratic form ax^2+bx+c=0, which form is obtained?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf (m² − 9)x² + 4x − 5 = 0 is a quadratic equation, what is the correct condition on m?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhat is the standard quadratic form of ((5x-2)(2x+3)=7x)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsThe base and height of a right triangle are \(x\) cm and \(x+2\) cm, respectively. If its area is \(24\text{ cm}^2\), which quadratic equation in \(x\) is correct?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsWhich equation will have sum of roots (0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsWhat is the value of (b^2+ac) in (7x^2-5x+2=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium