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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।

MathematicsWhich of the following quadratic equations has discriminant -47?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf the roots of \(x^2-20x+k=0\) are real and distinct, what is the correct condition on \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf 8 and 9 are the roots of the equation \(x^2 - s x + p = 0\), what is the value of \(s+p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsWhat is the sum of reciprocals of the roots of (6x^2-19x+10=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsWhat is the condition on p for the equation \(x^2+2px+49=0\) to have real roots?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 MathematicsWhich monic quadratic equation has sum of roots (-15) and product (56)?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 with integer coefficients of (\frac{4x^2-3}{5}+\frac{x-2}{4}=3)?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 ((t^2-64)x^2+(t-8)x+5=0) is a quadratic equation, what is the correct condition on (t)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsWhat is the standard quadratic form of ((4x-3)(x+5)=2(3x-1))?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf roots of (x^2+px+q=0) are (p+1) and (q-1), and (p+q=5), what is the value of (pq)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf the roots of (x^2-(2k+3)x+(k^2+3k)=0) are consecutive positive integers, what is the value of (k)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf (\alpha,\beta) are roots of (2x^2-7x+3=0), what is the value of (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhat is the standard quadratic form of (x + 2)/(x − 1) + (x − 1)/(x + 2) = 5/2?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf the equation \(x^2-2ax+a^2-36=0\) is given, what is the difference between its larger and smaller roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsAfter simplification, which of the following equations does not remain a quadratic equation in x?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf α and β are roots of x² − 7x − 30 = 0, what is αβ + 4α + 4β?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 29Medium MathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-15x+44=0\), what is the value of \((\alpha+\beta)^2\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert