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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।

MathematicsIf (x=-4) is a root of the equation (2x^2+px-12=0), what is the value of (p)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsWrite (\frac{x^2+1}{3}-\frac{x-2}{2}=5) in standard form with integer coefficients.Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsWhat is the standard form of the equation \\(2x-3\\)^2+(x+5)^2=34?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf ((n² − 16)x² − 3x + 7 = 0) is a quadratic equation, what is the correct condition on n?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsWhat is the standard quadratic form of ((6x+1)(x-4)=5x)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf A = {x ∈ Z : |x| ≤ 4} and B = {x ∈ Z : x² − 2x − 3 = 0}, how many elements does A \ B contain?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf A = {x ∈ R | x² − 5x + 6 = 0} and B = {x ∈ R | x² − 4x + 3 = 0}, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf the equation \(x^2-2ax+a^2-9=0\) is given, what is the difference between the larger and smaller roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsThe equation \(x^2+4x+k=0\) has no real roots. What is the correct condition on \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf α and β are roots of x² + 3x − 18 = 0, what is αβ − α − β?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 29Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2+2x-8=0\), what is the value of \((\alpha+\beta)^2\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsA right triangle has a base of \((x+1)\) units, a height of \((x+3)\) units, and an area of \(30\) square units. Which quadratic equation is obtained from this condition?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhich equation will have a negative product of roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhich of the following is a quadratic equation in x but is not written in standard form?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf the roots of \\(x^2+px+q=0\\) are 1 and \\(p\\), which relation for \\(q\\) is correct?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsThe roots of the equation \(x^2-4x+1=0\) are \(\alpha\) and \(\beta\). What is the value of \(\alpha+\beta+\alpha\beta\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf \(x=1\) is a root of the quadratic equation \(x^2+(2k-1)x+k=0\), what is the value of \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhat is the standard form of ((x-1)^2+(x-2)^2=(x-3)^2)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf \\(a=-1\\) is substituted in the equation \\((a+1)x^2+(a^2-1)x+2=0\\), what type of result is obtained?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhich of the following quadratic equations has one root \(x=0\) and the other root positive?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard