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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 one root of x² + ax + 24 = 0 is 4, what are the other root and a?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 28Medium MathematicsWhich of the following quadratic equations has roots that are reciprocals of each other?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf the roots of the equation \(x^2-12x+k=0\) are real and distinct, what is the correct condition on \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf 5 and 6 are the roots of the equation \(x^2-sx+p=0\), what is the value of \(s+p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhat is the sum of reciprocals of the roots of (4x^2-13x+9=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf \(p\) is a real number, what is the condition for the equation \(x^2+2px+25=0\) to have real roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf the roots of the quadratic equation \(x^2-2mx+36=0\) are equal, what are the possible values of \(m\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhich monic quadratic equation has sum of roots (-11) and product (30)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf \(x=-3\) is a root of the equation \(4x^2+px-9=0\), what is the value of \(p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhat is the standard form with integer coefficients of (\frac{2x^2-1}{5}+\frac{x+3}{2}=7)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhat is the standard form \(ax^2+bx+c=0\) of the equation \((x+2)^2+2(x-3)^2=35\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf ((k^2-25)x^2+(k-5)x+1=0) is a quadratic equation, what is the correct condition on (k)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhat is the standard quadratic form of ((2x+5)(3x-4)=4(x-1))?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf A = {x ∈ ℝ | x² − 5x + 6 = 0} and B = {x ∈ ℝ | x² − 7x + 12 = 0}, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsWhat is the standard form of \((x-2)(x+3)+(2x-1)(x-4)=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf the roots of (x^2+px+q=0) are (3) and (p), what is a possible value of (p)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf A = {x : x² − 5x + 6 = 0} and B = {x : x² − 4x + 3 = 0}, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf the equation \(x^2-2ax+a^2-16=0\) is given, what is the difference between its roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsThe equation \(x^2+8x+k=0\) has no real roots. What is the correct condition on \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf (\alpha,\beta) are roots of (x^2-4x-21=0), what is (\alpha\beta+2\alpha+2\beta)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard