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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 the roots of \\(x^2+bx+c=0\\) are \\(-2\\) and \\(7\\), what is the value of \\(b+c\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhat is the sum of cubes of the roots of (x^2-2x-3=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf in \(2x^2+kx+18=0\), the product of roots is (-3) times the sum of roots, what is (k)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhich quadratic equation has sum of roots (0) and product (-49)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf x = 1 is not a root of kx² − 5x + 2 = 0, what condition must k satisfy?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 29Hard MathematicsThe roots of (x^2+px+9=0) are equal and negative. What is the value of (p)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf one root of (x^2+mx+16=0) is the reciprocal of the other, what can be said about (m)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf \(k\) is a real constant, what is the nature of the roots of the equation \(4x^2-4kx+k^2=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf \\(x+a)^2=x^2+10x+25\\) is an identity, what is the value of \\(a\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhich of the following quadratic equations has two equal and positive roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf (\alpha,\beta) are roots of (x^2-5x+6=0), what is (\frac{1}{\alpha}+\frac{1}{\beta})?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsTwo numbers have sum (11) and product (30). They can be roots of which quadratic equation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsA rectangle has length ((x+5)) and breadth ((x-2)). If its area is 84, which quadratic equation correctly represents this situation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIn which option will both the sum and product of roots be positive?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf both roots of the quadratic equation \(x^2+bx+25=0\) are equal and each root is \(-5\), what is the value of \(b\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf the equation \(x^2+6x+c=0\) is a perfect-square quadratic equation, what is the value of \(c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhat is the positive difference between the roots of the equation \(3x^2-10x+8=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf one root of the equation \(x^2-(m+2)x+2m=0\) is \(2\), what is the other root?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsWhich statement correctly describes the nature of the roots of the quadratic equation \(x^2-4x+6=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf the roots of (x^2+px+q=0) are (p) and (q) themselves, which relation is correct?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard