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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।

MathematicsWrite the equation \((x-6)^2 = 4x + 5\) in its standard form \(ax^2+bx+c=0\).Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsIf x = −3 is a root of 2x² + rx − 9 = 0, what is r?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 30Medium MathematicsIs \(x=5\) a root of the equation \(x^2-6x+5=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsWhen the equation \(12-7x+x^2=0\) is written in standard form \(ax^2+bx+c=0\), what is the value of \(b\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsFor the equation \(6x^2-13x+5=0\), if \(a, b, c\) are the coefficients, what is the value of \(2a+b-c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsIf ((5-p)x^2+2x+9=0) is a quadratic equation, what is the correct condition for (p)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsWhat is the standard quadratic form of \((4x-1)(x+3)=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Medium MathematicsIf A = {x : x² − 7x + 12 = 0} and B = {x : x² − 9x + 20 = 0}, what is A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Medium MathematicsIf \(A=\{x:\,x^2-5x+6=0\}\) and \(B=\{x:\,x^2-3x+2=0\}\), what is \(A\cap B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(A=\{x: x^2=9\}\) and \(B=\{x: x^2-4=0\}\), what is \(A\cup B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(x=-4\) is a root of the equation \(x^2+tx-8=0\), what is the value of \(t\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium MathematicsWhat is the standard form of ((2x-1)^2=3x+5)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium MathematicsIn which perfect square form can the equation \(x^2+12x+36=0\) be written?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium MathematicsThe area of a square is 15 more than 8 times its side. If the side is x, which equation is correct?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium MathematicsIf the quadratic equation \(x^2 + s x + 18 = 0\) has roots \(-3\) and \(-6\), what is the value of \(s\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium MathematicsWhich pair of integers is useful for factoring the quadratic equation x^2 - 13x + 42 = 0?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium MathematicsIf (6x^2-18x+12=0) is divided by (6), which simplified equation is obtained?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium MathematicsIn which option is the (x) term absent but the equation is quadratic?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium MathematicsIn (x^2+kx+49=0), if the roots are equal and positive, which possible value of (k) is correct?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium MathematicsIf the roots of (x^2-14x+k=0) are equal, what is (k)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Medium