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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 are the roots of x² − 9 = 0?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Easy MathematicsWhat is called a root of a quadratic equation?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Easy MathematicsIf the roots of \(x^2+px+q=0\) are \(p+2\) and \(q-2\), and \(p+q=8\), what is the value of \(p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf the roots of (x^2-(2k+5)x+(k^2+5k+6)=0) are consecutive integers, what will those roots be?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf (\alpha,\beta) are roots of (3x^2-11x+6=0), what is the value of (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsWhat is the standard quadratic form of (\frac{x+3}{x-2}+\frac{x-2}{x+3}=\frac{13}{6})?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf \(x^2-2ax+a^2-49=0\), what is the difference between the two roots of this quadratic equation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsThe equation \(x^2+14x+k=0\) has no real roots. What is the correct condition on \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf α and β are the roots of x² − 8x − 33 = 0, what is αβ + 5α + 5β?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium MathematicsIf \((\alpha,\beta)\) are the roots of \(x^2-19x+84=0\), what is the value of \((\alpha+\beta)^2\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsA right triangle has base \((x+5)\), height \((x+9)\), and area 95 square units. Which quadratic equation represents this situation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf \(\alpha,\beta\) are the roots of \(x^2-20x+96=0\), what is the value of \((\alpha-8)(\beta-8)\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf the roots of (x^2+px+q=0) are (6) and (p), what is the value of (p)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsThe roots of \(x^2-9x+4=0\) are \(\alpha,\beta\). What is \(\alpha+\beta+5\alpha\beta\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf \(x=-1\) is a root of \(x^2+(6k-3)x+5k=0\), what is the value of \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsWhat is the standard form of ((x+6)^2+(x-7)^2=(x+3)^2)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf \(a=-4\), what type of statement does \((a+4)x^2+(a^2-16)x+13=0\) become?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf the roots of \(x^2+bx+c=0\) are \(-6\) and \(13\), what is the value of \(b+c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsWhat is the sum of cubes of the roots of (x^2-7x-18=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert MathematicsIf in \(6x^2+kx+66=0\), the product of roots is (-2) times the sum of roots, what is (k)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Expert